roof integrity and the ability of it to protect your RV from moisture damage is a big deal...
I would suggest you get either a mobile RV repair person there or take it to a dealer for a professional to look at it.
I cannot imagine anything normal dissolving or wearing holes into a plastic roof sheet, but perhaps this is something that is not normal.
Have you tried to clean the dots at all with a solvent like paint thinner, mineral spirits or alcohol (IPA from a drugstore)? Use the solvent on a small spot, and then wipe with a damp rag with soap to remove the solvent after testing.
keep us posted as to your findings
2014 Shamrock 183
2014 RAM 1500 SLT Crew Cab HEMI 3.21 8 Spd 4X4