Take the door apart
Sounds like the internals of your door handle are getting stuck. I had a similar problem with my 2000 ex. Passenger door. The mechanism that transfers the door handle pull from either the inside or the outside, had a problem returning to it's starting position, due to a faulty spring. I ended up lubing the mechanism and adding my own spring so that the piece has tension pulling it back to it's original position. It was a free fix, instead of buying a new one. Before taking it apart, bang on the inside panel by the handle a few times to see if it losens it up, and then attempt to close the door again using the switches in the front. Do not use the either door handles. If the door closes it is that part that is faulty.