I've got both hatch opening mechanisms('00 & '95) and it definitely sounds like you have a lock problem because i can use one hand to open up the hatch on both cars. On the '95, I insert the key and unlock the hatch, then I take my key out and open it up with the same hand(my other hand is usually carrying something, i've done this test before to note the difference from the newer integra). On the 2000, i just unlock it with my remote, slide the lever and the hatch opens up easily.

You should be able to unlock it, take the key out, then open it up.