If the ground is as saturated as it gets after some hurricanes around here, you might be better off having the (1,000 gallon?) tank pumped out to give your home a little instant relief on that issue.
You could have many issues with a well and pump, but you may have just lost prime on the well after 26 hours off.
If you don't know how to prime a well, just look through the recent postings here.
(Power was out for over 10 days here after Isabel in 2003, so I feel for you guys. The joys of living on the coast. lol)