Ok so the question you are asking is not that simple of one. Lets look at it by examining the contributions to the world by its rotation.
Diurnial Cycle: Day and night are the obvious effects but lets get to examine it more closely.
First there is heat: as roughly 893.0 w/m2 or 283.6 Btu/f2/hr {using the Solar constant model and the reflection absorption statistics of atmospheric layers provided by http://mb-soft.com/public2/energyso.html} gets to earth with the current rotation, and that Significant heat exchange takes place during the nocturnal time frame enough for a temperature variance of around 21 degrees F or 12 degrees C yearly average. In essence as the day gets longer and the night shorter it becomes warmer as less energy is able to be radiated by night time (there are a lot of other factors but it essentially revolves around two facets of thermal dynamics equilibrium and surface transfer. The earth will always attempt to equal the ambient temperature of the cosmos.
So what happens as we slow down well during the day we get more energy, however at night we lose more. As we lose faster than we gain (in absence of other factors such as clouds, geothermal radiation, and the like) the time in the sun would at first cause your area to become hot. The shortest day where I live average 10 hrs 16 mins in which our high temperature averages 62 Degrees F versus the longest days, 14 hrs 2min where it averages 97 Degrees Fahrenheit. This means that with a difference of 3 hrs 46 minutes of solar activity we encounter a temperature variance of 35 degrees F that 1 degree per ten minutes (rounded out not precise).
Depending on the rate of rotational slowing I think you gave it 20 years... Current rotational rate is 1,674.4 km/h with a 20 year slow that means our rate of slowing is 83.72km/h/year or 229m/h/day... At your rate the first day of slowing would go from 24 hours to 27 hours a relative 3 hour difference assuming that this even diurnal our temperature difference just from that are 35 Degrees. Essentially where I live our coldest day now sees an average of 31 degrees instead of 65. and our Hottest average would jump to 132 Degrees F. in one day most of your plants would die off from exposure to extreme heat or extreme cold.
Evaporation & humidity: The longer cycles means heavier evaporation in the long day seasons and less in the long night seasons. Yes polar caps would melt... in the hot parts, in the cold months there would be an increase in ice mass this means that the tidal patterns would reflect this changing the convection currents to adjust for cold and hot spots.... There is a lot more to this Coriolis effect, Electromagnetic field, Tectonic shifting, and even the geothermic radiation. Leave it to say this.
First day: Plant life dies of shock due to extreme temperature changes. Oxygen production nearly Ceases. The few remaining plant life and oxygen producing algae are limited at the adjust to the temperature swings.
First Month: Famine strikes world populations, Animal attacks against humans increase. As a lack of food drives them to be more daring. The extreme heat and cold causes a temperature imbalance affecting Hurricanes and torrential storms occurring around dusk and dawn most notably.
First Year: Winds begin reach extreme Average speeds, protection must now be worn when outside (Think sand blaster). Most animals are gone, all life has either moved into constructed shelter or natural caves sucking up the little remaining geothermal heat produced by the slowing core.
First Five years: as the electromagnetic field protecting earth from harmful radiation fails with the slowing rotation, Going outside is now a death wish both day and night (though you could survive a bit longer at night). Earthquakes have all but ceased, as the energy needed to drive the tectonic activity has also ebbed with the rotation speed. Temperatures become so extreme that little is left on the surface as any thing with a low flame point is burnt and a low melt point liquefies and is absorbed by the earth. If its still alive it has to be magic...
Please note that we would not fall off the earth as gravity does not work that way. we would however probably be better of if it did.