I think your 95 is probably like my 99. On the 99 to remove the door panel you'd remove the 2 screws as you did and take a small screw driver and gently pry out the door lever handle cover plate.
I think there's a screw holding down the arm rest plate for removing too?
The panel itself has blind poly rivits holding it to the door. Using an $8 trim removal tool is best for prying out those rivits so you don't fracture the plastic panel. If you are in a hury or too far to buy a trim tool, use maybe a Stanley Wonder bar and wrap it with tape for protecting the paint. You can start lifting the panel a bit with a screw driver so you can see where to place the too in relation to the rivits.
I think there are maybe two-three rivits on the sides and maybe two along the bottom.
I too broke some of the plastic molded holding clips on the arm rest area and found (after cleaning with laquer thinner) that repairing with Shoe Goop, after an over night cure, works very well
EDIT: Forgot to mention that once you separate the rivits all the way around, the panel lifts upwards a few inches before pulling out. And your controls will have to be threaded through their opening. Also, up near where your mirror is, there's a molded in hanger type clip built into the back of the panel that you wouldn't want to break while trying to pull the panel away too early
