Door scrapes on floor now. Suggestions?

We have an old door that over time and due to humidity, now scrapes on our wood floors. Over the weekend, I tried to shim the bottom hinge to raise it - now the door doesn't shut properly. I took out the shim and the door shuts fine, but scrapes. I tried to use longer screws on the top hinge, but due to the door being so old, the holes are pretty much stripped and the new longer screws don't grab onto anything. Any suggestions? We love the old door and really don't want to replace it.