lisa, fear not about the screws breaking. The inside trim will come off after all screws are removed OR broken. Ensure the window is braced from the outside so it doesn't fall. You SHOULD have to kinda peel the window from the trailer side, the old butyl tape should still be holding. Lay the window on a workbench or folding table. Use a NEEDLE NOSED pliers on those broken screws and screw them IN. This allows the screws to free from the window frame. Replacement screws should be stainless--good ones! Home depot stainless screws aren't very good. I use a hard plastic scraper about 1" across, sharpened to a pretty sharp edge. Plastic causes less damage to the fiberglass surface. Clean the surface with the scraper and mineral spirits. Once it dries it MUST be cleaned with rubbing alcohol, even windex will work. Otherwise Butyl won't seal perfectly. With butyl tape installed, screws installed and tightened, I suggest you leave the window sit for a day or two then use the plastic scraper to cut excess butyl neat and smooth, some call it a "square cut" or 90 degree cut, then a smooth bead of white Lexel caulk. take your time and go for a neat finish.
Tree