I am assuming that this is an LX convertible, correct? No hatch/coupe door will fit your vehicle, except for perhaps a T-top car. Hatches and coupes have the window framing that is not present on your convertible, as well as the mirror issue.
As far as the doors themselves, LX or GT doesn't matter as long as your door moldings are salvageable. There are slight differences, so you would need to swap your door moldings onto the LX doors. This isn't exactly difficult, but removing the moldings can be a real pain.