Multiple accounts

[#1]

Is it possible to have multiple internet accounts?  I am the account holder for my parents hovel, and may be getting my own place soon (rather than privately renting and relying on other peoples excuse for an internet connection), and thus would want my own internet connection.  Whilst I would prefer it in my own name, if need be, the parents account can be "modified"

[#2]

yes it is
what you can't have is two lines on one account or two lines on the same username

[#3]

As per Jim's comment it would have to be two completely separate accounts. Make sure you add in your old account as a referral to save a little bit of money.
Matty