1. Will this support a great/modern graphics card?
-Yes. You've got yourself a nice deal. Its even better because if required, you can overclock it with no harm at all.
2. How do I connect my moniter? It does not have a normal moniter input that I can recognize, perhaps you can look at the product spefications and help.
-This is a tricky one. Uhm... click
here?
You probably need a newer / more modern video card.
3. How do I bypass the power button needing to be pushed, obviously I don't feel like ripping out a power putting moduel from my old PC, and I doubt it would even connect/fit.
Get a flat screwdriver and short the pins where you would connect the power button header.
That's your best bet.
-It should fit, but it'd be a tight one. There isn't much you can do about this one, you would have to get the module from your old PC, sorry.
Can you tell me the specs for your old comp?
-edit-
By the way, find that camera, pics would make this 10x easier.