Just another suggestion for viewing the Sistine's ceiling, in addition to the compact mirror to save your neck. We used binoculars to see all the amazing details. I think it's worthwhile to take the binocs if you have a small pair. If not, you can just use the mirror. And there may be someone who has binocs who would let you use them for a second for an up close view.
I know you will enjoy all Rome has to offer. Try to get to the Coliseum if you have time.
Enjoy,
JP