The HD4400 GPU is obviously not a gaming GPU, as you've said, but it's capable of playing older games, or some newer games on low settings.
GTA4 is very optimistic, I doubt you'll get that very playable.
I believe the rest of the games on your list should be OK, you'll have to play around with the settings and see what works. It helps that you'll be playing on low resolution (assuming you're not using an external monitor? If so then you'll have trouble playing games at higher resolutions). The 430 is a nice laptop, too.
I will however say that you should check what your school policy is regarding personal use and particularly installing software on that machine. It really depends on their setup but in most cases I'd be surprised if this was allowed or indeed if you even had the user rights to install additional software, but different places have different policies.
