Re: Radio & lighter stopped working...
Look for ACC. relay, [below radio] some older Honda/Acura used an ACC. relay, it is possible, if you have one, that it was unplugged when HU fell out of dash.
Also recheck the fuses, if you are just eyeballing them it is not good enough, you must test or replace with new or known working fuses.
This time when you install the HU, install a back support, it is so easy on a 93 Accord I am surprised it was not done. 94