Was the installation done with a harness adapter? The red and yellow wires going to the deck need to be connect to the proper power sources. The yellow wire is always hot and will allow your radio to store and keep its presets. The red wire is switched on via your ignition switch. If your fuses are good, check and see how it was wired up. For your dome light problem, check your door switches. They are a small rubber boot in the door jam. Move them around a bit and see if the light comes on.

The CIG/RADIO fuse or DOME fuse will supply power to the dash clock.
__________________
1996 Paseo 5E-FE 269,xxx miles - Gotta fix that sagging DS door.

New hinges on the way.
1993 Camry LE 5S-FE 264,xxx miles - New output shaft seals, Trans fluid service...
1997 Mazda B2300 213,xxx miles Underbody/frame resto in progress.
Find my DIY's or advice helpful? Don't forget to hit the "Thanks" button.