Unless the fiberglass roof is damaged with holes and cracks, I would not remove it. First job is to clean it and identify any problem areas. Next is to reseal around all the openings cut for AC, vent pipes, frig, skylights, vents, etc. Then seal the two end cap seams and base of your antennas and sat dish. Some owner have applied an elastimeric coating that works very well but surface must be clean and dry.
Is your interior roof headliner falling down? Its common with age for these units. There are many ways to fix that depending on how much is coming down.
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