Can you pull a camper in there and stay through the winter also and if so how much is it by the month?

They are closed for the winter and I think they allow you to stay two weeks

Terre haute campgrounds

So would you know of any place I can put a camper at like ASAP I was homeless and bought this camper and it's in a park but the lady wants it moved ASAP

No, the parks department closes Hawthorne during the winter season.