Anything I can do about abused woodwork?

[Arthur E.]

I bought a 4 family that's been abused for a number of years.  None of the woodwork has been painted over (yaaaay), but it looks like someone took a screwdriver to it in many places.  There's also a problem with previous painters being sloppy and getting paint on the woodwork.  Is there anything I can do about this or do I need to rip it out and replace?