Pretty sure Islagogs has mentioned this before, so I'll say that converting by using 2007 was the right move. You should be able to upgrade all the way to the most recent version you can install. However, I would keep each converted file in a backup folder - never convert the only version you have in cases something goes wrong. You might have some fixing to do wrt outdated references (Access should take care of those) or code that could fail because the syntax isn't quite right but you got away with it. We've seen app updates do that from time to time.
The more we hear silence, the more we begin to think about our value in this universe.
Paraphrase of Professor Brian Cox.