Do I need a CPU Cooler? Is this a good build?

bsod1

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My build right now:

CPU: AMD FX-6300 3.5GHz 6-Core Processor
Motherboard: MSI 970A-G46 ATX AM3+ Motherboard
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive
Video Card: Gigabyte GeForce GTX 660 Ti 2GB Video Card
Case: Corsair 300R ATX Mid Tower Case
Power Supply: SeaSonic 620W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply

Approximate Purchase Date: Any time between now and June

Budget Range: ~1,000USD ~67,000INR

System Usage from Most to Least Important: Gaming, watching HD videos, Youtube/Facebook, Photoshop, Office

Are you buying a monitor: Yes

Parts to Upgrade: Everything. First rig ever.

Do you need to buy OS: No

Location: Bangalore, India.

Overclocking: Maybe

SLI or Crossfire: Maybe

Your Monitor Resolution: Whatever that works for gaming.

Additional Comments: I don't need optical drives, need a budget gaming PC, prices are higher in India, limited options.

And Most Importantly, Why Are You Upgrading: First desktop PC, want-to-game-syndrome
 
the changes id say you can make is reduce the psu size to 520-550w and use the 200R if avaliable as it is about the same case but cheaper

id suggest a ssd as well

the stock cooler will allow some basic overclocking, but if you want some serious gains in performance and temps, go get a proper heatsink
 

bsod1

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It's a 1920 x 1080.