If I am attempting a multiple set of island record such as Islands of Time if I get the record for time twisted while attempting that can I submit that at a run for both or either?

Yeah. I've gotten several world records while doing page runs. Heck, even if it's not a WR, I'd say you should still submit it as a PB.

Yes you can submit single island runs that are part of page run attempts as well as the page runs those single island runs are part of.