Are unused skillpoints carried over to the next level, or are they lost?

TIA

They carry over. It's a boon for dumb non-human fighters, otherwise they'd never be able to get any skill points into Concentration (a cross-class skill for fighters), which is a pre-req for the feat Maximized Attacks. Fighters have it rough when it comes to skills.

Another quick note on skill points: if you have one or more characters that is going to take an early rogue level, start any such character as a rogue for double the starting skill points.

I don't think you can carry over skill points to lvl 2 from character creation, though; although I'd have to check that - it seems to me that you have to distribute them all before moving to the next step of character creation. Too bad, because it would enable starting a character as a rogue for extra skill points and saving the points to put toward other skills (say for a rogue/wizard that is going to do all of the item identification).

As far as I can tell from playing, you are allowed to carry over one point each time you level up, ie. you have to spend until you've spent all points, or have one left, and this carries over.

-Raffin