No. You have an AMD motherboard with an Intel chip. Go with an LGA 1155 board with the Z68, Z75 or Z77 chipset from Gigabyte or Asus.
That power supply is on the small side for an HD 6870 build. It would probably be fine but I would go with something just a bit more powerful since AMD recommends a 500w power supply with that card. This is actually more than you need but with the rebate it's the best deal I see on newegg.