Glad things turned out well, or nearly so.
A bit of advise; The carriage bolts, with round head and square that fits in the hole are soft bolts. When they start to turn you can often hold with a finger, and tighten it up. (The nut just ran over that part of bolt, so will do easier than off, lube helps) Once it is tight, keep turning, snap it off.
Now, for everybody that wants to plan ahead, can you get a wrench behind if the spare is off? Get bolt and 2 nuts to replace each one. Remove the carriage bolts, replace with hex head, and jam it tight with a nut. Hang the spare, use other nuts to hold. And use anti-seize on threads after bolt is locked in place.
