It's very difficult to answer your question. Are you going to remove the original lettering, strip the whole shell, or just disassemble and paint? I would suggest at the least making sure the original lettering will not show through a new coat of paint ( use your fingernail or a toothpick to feel if the lettering is raised or lowered compared to the car body), a good cleaning in soap and water, and perhaps even mild solvent wash, followed by somehow scuffing or roughing up the original paint a little to give some "tooth" for the new paint.
Hardware store paint is hit and miss on plastic. Some will work, some won't. I would suggest using a plastic safe paint such as Scale-coat 2, or an over-the-counter paint that specifies it will work on plastic.