You have stickey keys set up on your computer? I had that problem in Operation: Flashpoint but with the shift key until I turned them off.
not sure why anyone would ever do anything with that screwed-up thing. hugely annoying
on the subject of the z-axis control, i found that the tactical key was unnecessary. i would hold down z, then click on a point above the ship. this worked, as the ship would proceed to move up on the z-axis. i did a test, in which i put the camera on the xy plane, that is, even with the two ships i was looking at. i then proceeded to to click above the ships, once while holding z, once without. when i held down z, it moved up, when i didnt, it moved to the other side of the gravity well