The only way I can see to pull the rear door panels off while the door is closed is to lift up the seats on that side as there's a screw holding the door panel on behind the red door filter in the bottom corner of the door. With that screw out (and I believe one more, been a while) the door panel simply lifts out.
By "It seems like it comes free at the top but the buttoms are stuck" do you mean that you can pull on the handle and the latch will release and the top of the door will pull out but the bottom section of the door won't?
Since you mention suicide doors I'm assuming the stock door handles don't work or they were removed and replaced back into the door on the proper B pill for a suicide door. Does the door have pop-locks installed in it? This is the most common installation I've seen and done in regards to suicide doors which typically have the door handles removed completely or the door handles are left in the door but no longer function due to the relocation of the door latch from the C pillar to the B pillar.
With the utilizion of a pop-lock system both the door opening (the pop-lock) and the door latch plate (the actual locking mechanism) are controlled by a solonoid and motor. There's one motor attached to a rod that goes to the latch plate and a solinoid on the rocker that "kicks" the door open after the latch plate has been opened.
Check your fuses, pull the door panel and make sure the latch rod is hooked up properly, run a voltmeter on the pop-lock and push rod actuator to make sure they aren't bad. My thinking is an inline fuse somewhere since you lost both sides at the same time.
Alright I'm an idiot was thinking Crew not extended cab...
You should still be able to remove the door panels from the inside with the doors closed. I believe there is a latch plate in both the top and bottom of the body since the doors essentially act as a B pillar for the front doors to latch to. Once behind the door panel there should be 2 rods coming off of the handle. These either came unattached or the door itself is just sticking.
My old truck got twisted pretty good offroading one time and since then the x-cab doors would always stick to the point that I'd have to hop in the back and literally kick the door open while someone held the handle "open".