rip? I wanted to watch it :(

So your RAM frequency is set to 1066Mhz and your timings are set to 7-7-7-20 which is not CL11, although I can't quite find what the CL11 timings should be. Either way, get into the BIOS somehow and either load the XMP profile, if the frequency changes to 1600 it should be right, or manually set the timings and frequency to "auto".

Since g-sync refreshes your monitor when it gets a frame from the GPU and all the g-sync monitors are capped at 144hz (I'm assuming they're using 144hz over 120, if they run at max 120hz then just replace 144 with 120) then there is no need for the fps to go above 144. I'd still get a 4670k if I were you, given that other games would start to struggle with as low as a 6350.

It should say on the stick of ram itself what the timings are

edit: looking at that speccy picture, the timings seem off but speccy has been known to be inaccurate about things, check CPUz and go to the Memory tab

I don't really know what else then to be honest, short of finding a way to get into BIOS. You could always completely shut down (either through W8 if you can, or something like turning the PSU off directly) and unplug your drive so it doesn't boot then you should be able to get into the BIOS.

The cost of an unlocked processor is like $10-20 more? Add on a bit more assuming you need beefier cooling and you're probably up to $60 more which is quite significant. Overclocking these days really doesn't get you much benefit at all, maybe a few FPS but it's nice to have the option to overclock. If you don't already have fairly beefy cooling planned (especially for Haswell which gets very hot), or adding cooling like that would take you out of your budget, and you don't really have any interest in learning how to overclock then I wouldn't bother. If you enjoy tinkering with hardware then go for it because it's pretty fun to see what extra performance you can get. Also you're fine with 120fps for 144hz, although 120hz+lightboost is better and g-sync is better than that and with g-sync you'd be locked to 144fps anyway.

Tried something like http://www.makeuseof.com/tag/how-to-access-the-bios-on-a-windows-8-computer/ ?

So far as I know, W8 uses hibernation by default instead of shutting down, make sure it's shut down completely and it should be fine. Shutting down completely might require changing an option in the control panel or something though.

Are your RAM timings set correctly? On your RAM it will give you a frequency, most likely 1600mhz and some CAS latencies, e.g. 9-11-11-30. Check what your values are and then go into the BIOS and check what they're set to there, the same with RAM voltage, most likely around 1.5v. In your BIOS, check that either all the settings are on "AUTO" or set them to their correct values. Incorrect values there can cause stuttering.

An 8350 overclocked would get you about the same mileage (maybe a little less) as a 4670k overclocked in games because games these days are very rarely CPU bound, but the 4670k is just a better CPU overall. Personally I'd get a 4670k (or a 4670 if you don't want to/can't overclock), especially if you've got TF2 in mind since TF2 will make good use of the CPU and wants good single threaded performance over multiple threads meaning that the 4670k is definitely a better choice for TF2.

http://puu.sh/64C0G.jpg

edit: fixed link

This is a graphics card

http://images.bit-tech.net/content_images/2013/11/nvidia-gtx-780-ti-3gb-review/780ti-1b.jpg

This is a GPU

http://www.techyuva.com/wp-content/uploads/GPU_NVidia_NV40_6800GT_AGP.jpg

Doesn't seem like a hardware problem to me, what settings are you using?

That's the GPU, "graphics card" refers to the whole thing, GPU, PCB, cooler, PCI bracket, etc

I thought that at first, but given he said he was getting 500 then to 200, presumably with the same hardware, I doubt it's a hardware issue. Also technically it would be "most laptop gpus suck", laptops don't have graphics cards.