Redoing woodwork and new skylights in 1920's bungalow
I am eyeing redoing the woodwork in my little cottage - while unpainted, the previous owners (of whom there were many) globbed paint on all surfaces. The cottage has the original doors, which I love, and some of ok, others not in great condition at all! I haven't a clue what to do to finish them. The doors have the original knobs which apparently locked, however there is no key for any of them. I've included pics, any idea (a) what type of wood this is (b) What finish this is (it's a matt almost type), and (c) how do I go about cleaning these up? Do I have to strip all the woodwork? Big job, but I want it to look nice. Some of the paint is EVERYWHERE lol.
Here is the baseboard - they drilled a HOLE through it to run a phone cable (which then ran all through the heating ducts!!!!)
Just a sample of the paint jobs of years gone by:
More damaged trim:
You can see the paint splashed on the edges here. This door is pretty good shape, not all are as lucky:
We had new skylights put in (old ones were leaking). These are in the upstairs attic, which was gutted and redone in the '80's. The trim is unfinished wood. Should I stain it, or paint it? Trim will be white in this room.
Another view of room:
Thanks in advance!