I just quickly browsed your 4 options, and noticed they are all Corsair kits. Any reason in particular?
When looking for RAM, the three things I consider are, in order: Transfer rate, latency, and voltage (and by extension heat sink)
The transfer is the 1600MHz or 2000 MHz (It should be MT/s, which stands for millions of transfers per second)
The latency is the CAS timings (C11, C10, C9 were all present in your options)
And voltage being its own things. I personally do not like the look of RAM heat sinks which extend above the DIMM (Which is what Option 1 and 4 do) and I do not much like the total absence of a HS (such as with option 3). I think option 2 looks streamlined. Looks and performance are not the same, however.
You should look at a RAM benchmark to determine what sorts of transfers vs latency is best for your application, but 1866MHz at CAS 9 (slightly higher end, but not quite high end yet) has been said to be (not said by me) the option you should look for when buying RAM for gaming.
My system has 1600MHz at CAS 9 (at 1.5V, with a more streamlined look), which is in all honesty perfectly fine.
I'd agree with Laviniu regarding the 4th option, but I'd much prefer to see a broader range. Is that all that is available locally?
Another thing to mention is channels. Buying a single, super fast DIMM will, in many cases, be slower than buying 2 or 4 slow / normal speed DIMMs because modern machines have a dual channel (Intel Extreme has 4, servers are their own beast, and older intel stuff has 3. Low end stuff like AMD Brazos has 1). Meaning, in the simplest and probably technically wrong terms, that the CPU can access the DIMMs in dual channel twice as often as if they were in single channel.
Keep in mind, you might not even see or care about the performance loss. If all you're doing is watching youtube, writing reports, sending emails and playing minesweeper, you shouldn't care.
I hope I've elaborated enough to help, and not so much that it did damage! Good luck with your PC upgrade.
Quick edit:
Supahos isn't technically correct.
http://ca.gigabyte.com/products/product-page.aspx?pid=4150#sp
Your motherboard does support that higher end DIMM, kind of. You'll need a 22nm (read, Ivy Bridge) CPU. The 1.65V also is out of spec, which isn't necessarily a bad thing, it isn't something you normally want to do.
Something like this:
http://www.newegg.com/Product/Product.aspx?Item=N82E16820231460 is a much better buy. It's less expensive, high performance, etc etc.