I had a similar problem with my '01 Sport which I only fixed a few minutes ago. In my case the driver's side door had difficulty unlocking but no problems locking. This happened when using the power lock switch, exterior combo pad and the key (bought my car used and didn't come with a remote).
The basis for this problem is that the exterior door handle is supposed to be at the resting position (down) in order to unlock the door. That is, if you lift the handle and try to unlock the door it won't happen. There is a thin metal rod that gets pushed downward when you lift the handle which blocks the locking mechanism in some way. When you let go of the handle the rod rises a couple of centimeters and disengages this safety feature. The rod is shaped like a hook at the very top which is hooked onto the door handle through an oval shaped hole.
The problem was that that the door handle wasn't fully pulling this rod back up into place because thes oval hole is too large and allows to much wiggle room (bad design I guess). Unfortunately I could barely see this rod through the openings in the metal door let alone get easy access to it so that I could properly fix it. Instead, I tied a length of picture frame wire to the bottom of this rod (there is a plastic piece attached to the rod that was ideal for tying the wire to) and tied the other end nice and taught to an area of the door handle that I could reach (make sure the handle is in the resting position when you do this, you may have to hold it down). Ghettofabulous I know and a bit of a bandaid style solution but it's all I can do for the moment and now the lock works fine!
I don't know if any of what I just wrote makes sense as it is kind of difficult to explain. It took me a little while to even get a mental image of what was wrong with it since I could barely see anything in there. If you're still confused let me know and I'll try to draw a simple diagram. I've noticed in some other threads that some explorers use a spring or wire and seem to be much easier to get at.
Cheers.