hello,
i had the same problem as you described push button you can hear relays clicking yet no movement if all your doors started this at same time i would say check ebay for a "DOOR LOCK CONTROL" thats the name of it drivers side lil grey box above speaker well was in my 92 atleast

when i took apart the axuators and hooked them up and hit the button it moved about 1/4 of a turn the motor did so i found the contol on ebay and installed and problem solved door locks work great again

if anything i would recomend unhooking the door lock control just unplug the wire harnest when i talked to local dealer to price one of these they said they can go haywire and lock and wont want to allow you to unlock your doors and you have to go through all this trouble and stuff btw priced at deeler was i think $115-$130