Generally Yes and Yes.
Personally I have no problem bundling grounds, but I try to only bundle neutrals on the same circuit. I don't recall that bundling neutrals of different circuits is disallowed, but depending on the circuit layout it can cause issues with GFICs.
As pointed out, don't assume white = neutral. In a house that old there have probably been a few hands in the boxes and some of them might not have known what they are doing. It is also entirely possible that one or more white wires has been repurposed as a hot wire, they are supposed to be marked, but you never know.
