The new pushbuttons are probably the issue, if you've checked to be sure your doors are not locked. Check to be sure the lock is fully released by using the pushrod inside the door.
Remove the nuts that secure the door handle to the door panel. Then remove the door handle. The door should now operate properly from the inside. From the outside, simply push your finger into the latch hole until you feel the latch tab press inward. Then pull the door outward.
Vikki 1969 Goldenrod Yellow / black 400 convertible numbers matching