The voice coil is part of the upper assembly, and is included in a recone kit. So just replacing the motor isn't going to work.
I dont know which frame your sub uses, so I dont know if the mounting holes are 'standard' or not.
Some of the custom sub builders here, like PSI or SPLaudio, will probably know what coil fits your motor, and can supply it (and the rest of the top assembly/softparts) if you want to rebuild it yourself.
Usually centering the voice coil upon assembly is done using shim stock such as a piece of paper or index card, depending on the tightness of the gap for that particular motor.
A lot of members here rebuild their own subs, so you shouldn't have much trouble getting help rebuilding it yourself.