On my 95 (no remote), if it is locked, and I unlock it, it will relock immediately. My problem is in the DS door. What I have to do is turn the key while pulling the handle. What I suspect is going on is that the actuator is fouled is some way that keeps it from coming all the way up. This then has the effect of "pushing down" on the lock and therefore locking all the other doors. It's like when you are inside and lock it, and all the locks go down.

I expect that when I get around to removing the panel and cleaning things up in there, it will resolve itself.