Sounds as if the lock actuators are stuck, pretty common. There are no fuses in the trunk of a '90, they are under the rear seat on the left side.
I recently was able to free up a stuck actuator with about half a gallon of WD40 and lots of luck I'm sure but it works for now.
The door panels can be removed with the doors shut. Pull the weather stip out and pry at the edges of the door panel to release the clips. You need to lift the panel up over a clip in the middle, once the edges are free you barely have enough room to do so.
Commence drinking.