Initially, this sounds like a depleted battery. Be sure that you have a fully charged battery.
Being connected to the itunes, you shoud be able to have been auitomatically backed up.
By restoring, you will lose the data you entered: photos, music, contacts, notes, apps... but they will all be backed by by the itunes and whatever contact list you are using.
My suspiciaon tho is that the "black hole" is that the battery is/was critically low... put it on its charger for 6-8 hours, see what happens beofre you do anything.
just my 0.02
davis