Building a Gaming Computer Confirmation of Parts

Hello everyone. A few days ago, I asked the community if they could help me with choosing parts for a gaming computer that has a budget of $600-$700 (I'm willing to go up to $800).
Here is my results:

MoBo:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
Case:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
Processor:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
GPU:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
PSU:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
Memory:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
HDD:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
OS:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
Optical Drive:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
After-Market Cooler:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...

$782.93 and $45 MIR.

*I will also be buying an anti-static wrist strap, and thermal paste.

This is the first computer I'm building, so ANY input would be appreciated.
I guess what I'm asking is:
Are there ways to improve this, but still stay in my budget?
Are there ways that I can decrease the cost, but still expect similar performance?
Can this computer be an okay gaming computer (medium-high settings for all those new games)?
Are these parts compatible with each other?

Again, any input is greatly appreciated. I understand that I have a lot of questions and a ton of things to look at, but I am really interested in building a computer. Your time and help means a lot to me.
Thank you.