All 2004 Crossfires had leather in the seats, they were not called Limiteds that year just Crossfires. In 2005 new models appeared and what had been called simply a Crossfire the year before became a Limited model. Base models were stripped versions and had cloth seats.
The roof liner is an easy fix if you are handy, the toughest part is getting the roof panel out of the car, there are videos on how to do the removal and I studied it intently and had it out in a couple of minutes no sweat. There are instructions here on how to remove the old liner, clean the roof panel and glue in the new liner material. The material required is backed with 1/8” of foam and 60” x 60”, 60” x 72” gives you enough material to easily cover the A pillar mouldings as well.
If a car has cloth seats it is a base model unless the seats were swapped out as a few were. Other clues would tell you if it was a true base model. If it was a true base model it would not be a 2004 model.