Chevrolet Repair Questions? Ask a Chevy Mechanic for Answers ASAP
I doubt if the 2 are related. as far as the vibration goes I'll see if there are any tsb's out on that but the eng1 fuse feeds a lot of items, so the first thing to do would be to retrieve the codes. If you don't have a scan tool or code reader, most auto-parts stores retrieve codes for free. once you get them, write them downand give them to me. It may come down to disconnecting each item and see if the fuse still blows. Will the fuse also blow if simply shifting to reverse with the engine off?
Anyhow, here is the wiring diagram showing all that that fuse powers,
I found no tsb's on a vibration while in overdrive. I am not really a transmission expert, so perhaps you should open a separate question strickly about that overdrive vibration in the transmission category.