The card that you have chosen comes with a VGA connector built onto the card so you don't need an adapter.
The 350 will suit your needs to a basic set up of what you have shown but when you go adding extra cards and drives you will start to tax it.
here is a link to a configurer for power supplies:
On the cooling thing...you don't need to water cool..
you might go ahead and add 1 more fan and a couple of power cable splitters to your purchases though. an extra fan if needed and splitters to power it up.
Proper circulation of air is the thing to remember on cooling and don't use the psu fan as part of your figuring as it is for cooling the psu although it does help a little.