1) probably not necessary, but depends where you'll be going
2) probably best to stay in Anchorage, but depends what you want to do
3) the Chabad is about a mile from the rabbi's home. The hotels are right near Chabad, but sometimes they daven Friday night by the rabbi's house. I don't believe there are places to stay halfway, but maybe Airbnb.
4) yes, Talkeetna is 2 hours away
5) probably not, unless Fairbanks is really important to you
6) check alaska.org. Last I heard it was run by someone from the Jewish community