I'll go through your list one at a time,
Surface Gravity: 1g
This one is likely a no, especially since you mean 1g everywhere except your mountaintops.
Being pedantic, The planet would have to be a perfect sphere to be exactly 1g thanks to gravity calculations.
Being more useful, those same calculations mean that, in order to average 1g across the majority of your planet, it has to be either mostly flat, or dip down in equal measures to have an increased (albeit small increase) gravity to match the decreased gravity from upward bulges.
Plus if you planet has day and night, that means that it has to be spinning (more details later). That spinning is going to do to your planet what it does to all of them, and make the equator line bulge a little bit.
That being said, you don't really need everywhere to be 1g, just the places people are living.
Once more point though, for a larger or smaller planet than Earth, you have to fiddle with the density of your planet. It'll be virtually impossible to have 1g without the same amount of mass, and with a larger planet, your density is lower, and vica versa. Both smaller and larger planets have some weird effects on gravity, and I encourage you to explore that.
Surface Air Pressure: 1 atmosphere
This is actually suffering from the same problems as Surface Gravity, mostly because of the intrinsic linkage between the two. With a higher gravity, you'll also have a higher air pressure because of the increased pull on particles pulling them down.
Air Composition: 78% Nitrogen, 21% Oxygen
This one isn't actually that bad, since it's almost exactly what Earth has already.
The only sticking point is that the last 1% is going to be a mess of everything else. Partially because of the cases of 'things exhale waste,' 'things can aerosolize,' and 'higher concentrations of things make the other two worse.'
That being said though, with only 1-2 billion people, you're not going to have a serious problem with pollution, especially with modern day techniques for cleaning the atmosphere.
Exact Days: 24 hours 365 days
This one's tough, because you'll have to balance two things perfectly, and have something to absorb all potential impacts.
This is going to take a full solar system to pull off, but here we go.
There will have to be some form of gas giants out past your planet. They act as a defensive shield for our Earth because they're effectively big gravity nets for anything passing through the system. Garbage bins if you will.
That's not all though, unless you've got a near Dyson sphere of gas giants, some things will get through, meaning that you'll have to have a more localized shield too- a large satellite of some sort (moons probably). They'll act as a physical barrier, but even then, some things might still get through to the planet itself. At that point, you just kinda have to hope that the atmosphere you've got is enough.
The whole reason that impact absorption matters is that each time your planet gets hit, you're going to have a slightly changed rotational period (admittedly, it would take hundreds-thousands before it starts to matter at all). But it does take some consideration.
Now we've got revolution speed. This is going to be probably the most complicated because the gravitational force of the universe matters here.
Any time our planet gets closer to anything, it's going to have an effect on our orbit, and with anything but a perfectly circular orbit, we're either not going to have 365 days forever, or we're not going to have a perfect 24 hour day/night cycle. That means we'll have to keep the entirety of the solar system in a near perfect orbital cycle of maximum radius away from us (those gravity calculations earlier). That means a solar system of circular orbits, or accepting that we can't get everything perfect.
But that's not all, our rotation speed, and our moon/moons/satellites will affect our orbital periods too. That being said, that's all going on here on Earth, and our years are 365.2422 days
I don't want to deal with rotation, but just know that it doesn't change too much overall, that's just a (mostly) constant that drains over time because of entropy.
Plus its impact on orbital cycles is small, making about half go ever so slightly faster and the other half go exactly the same pace slower.
Seasons and Temperature
Seasons are easy, since they're based almost entirely on the tilt of the planet's axis. (complicates rotation and orbits more) you could probably even keep the Earth's tilt.
Temperature is a lot harder because that means you have to dive into Jet Stream currents as well as surface and deep level ocean currents. But since I don't know that much about those, It's probably safe to say that it's possible though not easy.
for ocean currents, we know that the colder water sinks (until a point, at which point it floats), which means that with the proper landmasses, you've got you're mild summers pretty easily. The mild winters at the same time could probably be managed through surface currents.
That all depends on your landmasses though and takes a lot more research.
This one isn't actually all that bad, you'll just need a lot of mountains and water. That being said, to prevent deserts on either side of the mountains, you'll have to have large bodies of water (probably oceans) close to both sides of the mountain.
No Windspeed Disasters
This one is a bit weird because there's two really good ways to solve it.
First would be even more mountains!
I know it sounds like I'm joking here, but due to what Tornadoes and Hurricanes need to really get going, the constant mountain boundaries would act as pretty solid deterrents against them. As evidenced by the topography of places with recurrent tornadoes.
Second would be even less temperature variance!
With less temperature variance, tornadoes and hurricanes would find the conditions for their creation less likely (still nonzero in either case) and they're less devastating in the event that they happen anyway (again, look at that map, just change it to look at temperature variance in the summer and winter).
I'm going to be up front here. You cannot have tectonic activity and static continents. That is a mutually exclusive scenario.
Mountains are formed when tectonic plates push up against each other, and to do that, they have to be pulling away from somewhere else. Even in a simple scenario of just 2 plates, they have to move in opposing directions (toward each other) to make a mountain, while also making an oceanic rift.
The only way to have any activity like this would be to have the entire planet be a single tectonic plate, and that won't work due to convection currents in the magma below, in addition to the fact that it wouldn't meet the tectonic activity to prevent weathering problem.
I don't see why this would be a problem. You'll just need a higher amount of limestone than the Earth on your planet.
If your coastal regions are mostly coral reefs and relatively shallow, (deep sea travel would be harder, but not impossible) you'll have plenty of habitat for sea critters.
Make sure that you include plenty of things like tide pools (for crabs, mussels, oysters) and deeper ocean (for large predators, whales, and large schools of fish)
If you've got a bunch of mountain ranges, you're going to have some trouble with cultivating the land, but that's not what you're asking for. To have a guaranteed improvement of fertility, you'll need volcanic activity. Otherwise you'll be relying on people to do it, and people are dumb.
You're in luck! Many of the things you've been asking for directly increase the number of mountains, and that means you've got plenty of mountain views to look at.
You'll need a lot of ocean to do the weathering for decent sand (like white sand) as well as MANY fish, since a fair amount of the sand is "processed" by the fish and weathered down by ocean currents.
There is one thing that I want to say: you'll have to find a plausible way to transport enough material to make the planet if you're planning on explaining how it came to be. The Earth is 5.972 × 10^24 kg according to google, and to put that in terms of a couple of things to put this in perspective:
it would take about 940 * 10^18 Elephants to make up the same amount of mass
19*10^18 Blue Whales
20*10^12 TOTAL HUMAN POPULATIONS OF EARTH
So it might be just as interesting to ask how the mass all got there (those were just the mass calculations for Earth by the way, not the solar system (the sun is 98% of the mass of the solar system))