Re: US
Strictly speaking you would be liable for customs and excise duties. It's not like us on AAM to condone evasion of such but people travel with laptops all the time and you probably wouldn't be questioned too much about either equipment.
Beyond that, the laptop should work fine. They're built for that sort of country-to-country usage. Your warranty would probably be useless so don't bother paying extra for one. As for the PS2, I'd be pretty sure that it would be region 1 as far as DVDs go. We're region 2 here in euroland. As for the games, I'm pretty sure there's an NTSC vs. PAL issue there. I'm no expert on that side of things. The US uses NTSC but most modern TVs can accept both PAL and NTSC signals. I'm not sure if there's any difference between the games. You could always buy them in from the states. Probably cheaper anyway but I'm sure someone else knows more than I do. May ask in the IT forum.