This home has a commercial style roof over it. The commercial roofing material is called the EP DM or rubber roof. This is a 45 mil EP EPDM roof With quite a few things that are needing to be repaired or replaced.
The long term repairs look like a minimum replacing all the drip edge and adding cover tape all the eaves of this roof. Sealing The seams with a heavy polyurethane coating, and adding a rear gutter.
This roof will be an excellent candidate for a coding within the next five years. Roof coatings are fluid applied over the existing roof to Salem protect it for at least 10 and up to 15 years.