Since he can’t jump to the upper floors of his house, it seems like it would be okay for him to have his regular space on the ground level of his cage.
If the pain reliever is Metacam, that is usually tasty to rabbits, so hopefully he will take it well. You could wrap him in a towel or have someone else hold him while you give him the medicine. Place the syringe into the side of his mouth, not the front. There is a gap between the front and back sets of teeth, so it will be a lot easier to get the syringe in there.
I have never given my rabbits Critical Care after a spay or neuter, because they always ate well afterwards. Some rabbits do go off their feed after surgery, but if he is eating his regular diet, I’m not sure why he would need the Critical Care. That takes longer to syringe in than the pain reliever will, so it could be stressful for him to be held and force fed. I’m not saying to go against your doctor’s orders, but you want to cause your rabbit the least stress possible. You can make up a Critical Care mix and put it in a bowl. Some rabbits will eat it on their own. You can also mix a little baby food into it or mix in some plain canned pumpkin. Or if you think he would lick it off your fingers, you can try it that way. Letting him eat it on his own would surely make him happier than being forced fed.