Hi!
If I am not mistaken, these radios use a vacuum flourescent display tube for the station, volume and mode display.
Being as these are a glorified flourescent lamp, they can go bad. So can the circuitry that drives them. If you operate the vehicle in dark place, do you see even the faintest indication of the display having power? (Dim characters or faint glowing red lines would be an indication of this.) It is rather unusual to just have one go dark.
Bad solder joints can happen. I haven't seen that problem with any car radio's VFD element however.
Since the CD player is also not working, you might try disconnecting the battery for several minutes. (Yes, you could probably pull the two radio fuses, but why take chances that some little thing may still be powered?) Reconnect the battery and the radio might come out of it. Sometimes they do get confused.
If that fails to fix the problem, you might look inside the radio for plug or ribbon connectors that have come undone. I have seen that happen, however, I'm not sure if the 1995 radios used such connectors. Also check the power plugs at the back of the radio. Maybe a connector pulled loose?
William