Does your IP address change on Laptop while you travel?

Yes, since the laptop is a mobile device it should be configured to obtain IP address automatically, since different networks have different IP ranges and assignments.

EVEN if you use a satellite or cellular connection.

Yes IP addresses do change.Well hope you will not for get to backup your files because it is risky for one to travel with a laptop at times.I was traveling with mine but on reaching my destination,i realised my laptop was missing.Well though i lost my laptop and some data,i was on a safe side because i have backups online with www.safecopybackup.com

Safecopy is cheap because for only 50bucks a year i use 200GB of space and with a free unlimited trial version of 5GB.

Yes however your MAC address never changes.

If you're using a wireless 3G card, then probably not. But if you are using different networks along the way, it will change.