Re: 2 monitors question
1. tv and monitor would work fine, but don't plan on being able to read any fine text on the TV, it's blurry as **** unless it's an HDTV plasma or LCD.
2. Not sure, in worst case scenario you could just use a vga to dvi adapter.
3. Yes, the TV hooked up to your computer will be just like another monitor. You can extend your desktop and put whatever you want over there. Although, you may need to run the games in window mode to get them to appear on the TV, unless you set the TV as the primary display.
Edit: D: James got me by 3 minutes