For Damarian, I have its system starting to be worked out, and I even have the basics of Checuti and how Damarian orbits around its mother planet. (Link to my first question about this system is included)
Improvements on the System:
Checuti now orbits around the K-type star (Finally decided, hopefully this doesn't mess it up too much)
No more G-type stars (Don't last long enough for my taste), but the M and K type stars are still there.
The K-type star (Think I'll call is Kenser) is 0.65 solar masses, and the M-type (Müla) is 0.3 solar masses, and Müla orbits Kenser about 15 AU from it, which I hope should be fine (Alpha Centauri A & B orbit a central gravity well 11 AU apart, and Alpha A is a G-type, and Alpha B is a K, so it should be fine).
Damarian will be tidally locked to Checuti, but it orbits pretty frickin' fast, allowing its day to be about 50 Earth hours (2 Earth days, 2 Earth hours) despite how far away it is from Checuti.
Checuti, at the recommendation of M. A. Golding (Who answered the accepted answer), is now much denser than Jupiter but roughly the same diameter. I'm thinking on about 5-6 times Jupiter's mass, and roughly 1.02 times the diameter. If these dimensions are off, please tell me which should change (Pretty sure the diameter would be roughly the same, but barely bigger?).
Damarian will most likely have trapped a few of its sister moons into its Lagrangian points, which are these fancy schmancy points in space where, should an astronomical object be big enough, gets permanently trapped by a larger body, as long as it's not smacked hard enough to move it out of its Lagrangian point. For clarification, I'm expecting a moon will get stuck in either the L4 or L5 points (L4 leads the world literally, L5 is behind the planet).
How the system was made:
Roughly 6.5 billion years ago, a supermassive star went supernova about 4 light years away from a nebula. When the blast hit the nebula, the force of it created such high heat and energy that a bubble of hydrogen collapsed on itself and turned into a protostar: This was Kenser and Müla in their earliest years. A couple million years later, the force of the fusion in Kenüla (The Damrian scientist's name for the protostar) was so great that it ripped itself apart, and the smaller piece flew about 15 AU and started orbiting at that spot. This was Müla, and the other was Kenser. Smaller pieces were either sucked in or were destroyed. One, however, survived. This was Checuti, and it was too small to fuse hydrogen, so it cooled down. It immediately collected smaller bits and pieces that eventually became its moons and, later, rings, The largest moon would become Damarian, and it had a denser-than-water, lighter-than-iron magnetic fluid that froze at its surface to become Damarian's surface.
Don't worry if the age is older than our Solar system, K and M type stars live longer than our star, Kenser's still got 11.5-27.5 billion years left, and Müla's got 93.5 billion left.
I'd like it if an answerer gave me roughly how far away from Checuti's star, in AU (Decimals are fine), how far away Damarian should orbit, in kilometers (I'm using metric due to it being the superior measuring system), and whether Damarian's orbit would be able to stay within the habitable zone without being Roche'd into oblivion or being slingshot away from Checuti.
Note: If there's any reason at all why a K-type star wouldn't be able to support Checuti and Damarian, please let me know so that I can revise.
UPDATE: If you are wondering what the normal temperature range of Damarian should be, I'd like it to be from -5 Celsius to 35 Celsius, or a smaller range of Earth's (-25 to 45 in the same unit). I'm positive Damarian wouldn't be capable of more extremes.