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it's a serial number of a network device

you can get it by typing ipconfig -all in command line, you should see something like Physical Address. . . . . . . . . : 00-24-E8-1A-2B-3C

if your...

I'm not sure what your parents have, but there is really no way how can they limit it your connection just for one PC. If it's locked on mac address then set that mac address on your router.

Buy Linksys wrt54gl
http://en.wikipedia.org/wiki/WRT54GL#WRT54GL

then install ddwrt on it
http://en.wikipedia.org/wiki/DD-WRT

and then you can configure it how ever you want, sky is your...

Buy wireless router, connect its wan port to the modem and you are all set. If you don't know how to disable wireless on you modem then don't.