[EDIT]If the basic AppGameKit IDE is working in your version of Windows XP, than you should probably be all right. I don't know what the differences between server pack 2 and 3 are.
You can't broadcast to the Android Player with the AppGameKit Trial version. It only works with Windows. (At least this is what I remember.)
Once you have the full version, assuming that your PC and Android are on the same wireless network, then the broadcast should work. I think some people had some issues with firewalls, but I never ran into that.
AGK has been successfully used by a lot of people to publish in both iOS and Android. (My own WIP is just a few levels away from being ready to publish.)
If you are comfortable with DarkBasic (which I also worked with for a while), then AppGameKit Tier 1 should be good for you. If you are comfortable progamming in C++, the you might come to really love AppGameKit Tier 2 (in case you can't tell, I use Tier 2 for my own work).
Cheers,
Ancient Lady
AGK Community Tester and AppGameKit Master