1) How much does refinishing a guitar typically cost?

2) Does a pickup's magnet type make very much difference in sound?
My Gear:
Ibanez ART300 electric
Peavey Vypyr 75 watt combo amp
Yamaha FG-130 acoustic

There is no God.
I only know the answer to number 1, its usually a couple hundred bucks for a professional painter to do it for you.
Ibanez RG7321
Jackson Randy Rhoads V with Floyd Rose
Peavey Valveking 112
Digitech RP70 Guitar Processor
1) $10-$200, depending on if you do it yourself or getting someone else to do it for you.

2) Yes. IE ceramics are generally used in hotter pickups, different types of alnico magnets can change your tone (i.e. alinico IIs won't colour your tone much, where alnico V's would)