Its good to try different regions to try out different tracks but you would need to nominate which region you are scoring points in as your home region.
Also if you race in a another region you wouldn't be able to race in the final you qualify in. You'd be in the bottom or seperate final. This is a rule I don't like, don't think it does the weaker regions any favours.
For your first year i'd stick with your home region with the aim of qualifying for the end of season F3 finals, which is always a good weekend.