So after the frigid winter it's been this season in our new house I've been looking at areas that insulation is a bit lacking. Looking into the basement and doing some research it looks like this was not done correctly by the previous owners as it can mold and I think I can see some evidence of that.Looking into the basement and doing some research it looks like this was not done correctly by the previous owners as it can mold and I think I can see some evidence of that.

To remedy this I'm assuming I'll need to just rip it all out? And follow what appears to be most suggestions and use XPS board followed by frame and mineral wool or fiberglass? The insulation looks fine in the rim joists so I was planning to leave that be if it wasn't bad. I have no intention of finishing this basement anytime soon if ever since the ceiling is just over 6', but I want to keep it warm and mold free as possible.

Since it was done by previous owners I'm not sure if they painted a vapor lock or not. Should I clean and paint a vapor lock even though it's got a French drain in the floor? In the 7 months we've lived here it seems relatively dry but it did get pretty humid in the summer so I don't think it's completely sealed and since the house is over 100 years old I'd guarantee there's nothing on the exterior.

It seems the frame and drywall is for fire protection otherwise I'd skip that too. But is there anything that isn't needed or I should do different when I don't plan to finish it? And would the same XPS then framing work for the entirely unfinished crawlspace section of the basement too?And would the same XPS then framing work for the entirely unfinished crawlspace section of the basement too?

Thanks in advance!