Do you have a repair manual for this car? That would explain everything you need to know about rotor and cap replacement.
The timing belt replacement procedure should set the valve timing to specs. After that the ignition timing should be checked with a timing light too. No experience with Acura, just a DIY’er, but replacing the ignition rotor generally has no impact on ignition timing. The exception would be if you have to twist the distributor to get the needed physical access to remove the rotor. Any time you twist the distributor then you have to re-set the timing.
Can’t remove the rotor except by bringing the engine rotation to a certain position? I suppose that is possible, but I’ve never had to do that with any of my cars. On my Corolla it is a little easier if I twist the distributor into a better position in order to remove the rotor, maybe that is what you mean. Old ignition rotors can be problematic to remove. They can get stuck on the shaft pretty tight over time. Usually you can rock them off by hand with a little patience. Don’t use a screwdriver to pry against anything in the area that looks delicate.