Your #1 depends on how the previous owner maintained the car. Even something with “low miles” like 20 or 30k can be a nightmare waiting to happen if the maintenance wasn’t done. But in your price range you’ll be looking at something with 100k + more than likely. So try to find something that comes with at least some kind of maintenance history. i.e. a private seller with all their receipts.
Check out Honda CRVs. One of those would probably satisfy requirements 2,3,4.
All of that being said, you’re going to be driving what, 6k round trip? Most reasonably maintained cars can handle that no problem.
Whatever you decide on, have it checked out by a mechanic of YOUR choosing before purchasing. Invest your time before you invest your money. Hope that helps.