Doors won't close

adjust the latch so that the door closes better. You may have to use a lever and brute force to bend the latch and panel back into position if the adjustment is not possible.

if it won`t close look at the door latch mechanism. there should be two u shaped claws that close around the door striker plate pin, sometimes these get closed before the door is closed causing the door not to close and stay closed. if they are closed(claws) pull the door handle to open the door and take something and push the claws out(open) then close the door.

maybe the door latch maybe off centered

while holding the door handle up to open try to separate the fingers in the door latch if they wont separate.. the rods inside the door may have broken loose from the mechanism..this requires removal of the inner door panel to look at..

Sounds like the door latch is stuck or broken.
There is a gear in the side of the latch that turns when it hits the striker bolt on the door frame.
You can try taking a screwdriver and pushing on the gear to see if it will move. You can look at one of the other doors to see how it is supposed to work.

Your door like your hood has a latch mechanism which locks around the "u bracket" if the latch is in the closed position try some wd40 or other penetrating oil to help free it up and try working the inner and outer handle to release it. There is a small metal linkage form the outer door handle and a much longer one from the inner handle which may have come loose if it does not work either way. you would need to remove the door panel to access it and you can get a universal replacement if needed at your local parts store

Hold down the "open" button on your remote and simultaneosly pull the inside handle of that door open. I just had the issue with my driver's door and as my son tried to "help" (he's 9), one of the passenger doors also got stuck! After not finding a non-tech response, played around some until the the dran latch obliged on the front door. Repeated on passenger door and whew! :-)

If you can't open the door from either the inside or outside, and the lock is moved to the "unlock" position, then the latch itself may be bad. First try manually locking and unlocking the door several times to see if the lock mechanism has gotten full of crud and see if that helps any. If it opens from the outside but not the inside then the child safety latch might be engaged which prevents the door from being opened accidentally from the inside by young children or the inner door handle linkage [in the door] might be broken. If nothing you do helps at all then you many have to remove the inner door panel to get to the latch linkage inside the door and try opening it there by manually moving these linkage rods. [not easy to do when the door won't open] Usually one of these methods will get the door open. Good luck and hope this helps a bit.

With the door open hold the door handle up as if opening the door. The latch in the door mechanism will now be free so you need to rotate it to the open position. It might be a bit stiff but it will rotate with the handle pushed You might need a pair of pliers or small wrench to move it around.

Sounds like the door latch mechanism is worn out.

The door latch mechanism for your door is operated by rods, from the inside door handle, and the outside door handle.
It is highly unlikely, (Though not impossible), that all those two rods have fallen off. (Spring clips hold the rods in place. Opening Rod Control Clip. In the link below they are shown as Item E)

With the window all the way down, carefully use a long flat tip screwdriver, to push down on the lever for the door latch mechanism, to open the door. Make sure the lever for the door lock, in the door latch mechanism, is in the fully unlock position.

This link may help show you the inner door hardware, I'm referring to above,

http://www.mamotorworks.com/corvette-c3-door-hardware+1968+1982-inner-1-106-9491.html

You can see that when you pull out on the inner door handle, it pulls a rod forward. This rod is attached to a Bellcrank. The Bellcrank in turn pulls down on another rod, which pulls down on a small lever in the door latch mechanism, to release the door latch.

When you push down on the outside door handle, it pushes a small rod that is attached to that same lever as the inner door handle. Looking down through the window opening in the door, it is that lever that you're trying to push down, to open the door.

Viewing down through the window opening, try to operate the outside door latch a little. Watch to see what lever it tries to move. That's the lever you have to move Down, with the flat tip screwdriver.

With the door open, it is a matter to check out,

1.The Inside Door Opening Control, (The inside door handle is attached to it), to see if the locking part of it is functioning correctly. Make sure that it goes to the full Unlocked position.

2.The Door Latch Mechanism. Make sure it is functioning correctly. It, along with the various door hardware parts inside the door, needs to be lubricated at specific intervals. The more it's used, the higher the interval rate goes up. (I find that owners seem to Skip this task a lot! I use Lubriplate White Lithium spray)

To replace the door latch mechanism, I suggest you buy a manual for your car, so you can view all of the door hardware to remove, to remove the door panel. Then view how the spring clips come off of the rods, and the three screws come out of the door latch mechanism.