PC1600? are you sure? That would be DDR-200!
Looking at your motherboard details I assume you're using DDR3-1600 (which is technically PC3-12800 in PC numbering
).
Your motherboard will support up to 2000 MHz DDR3 out of the box by setting the RAM frequency Mutliplier to the appropriate value (it does a similar job as the CPU mutliplier but for the memory). But
tbh I don't think you'll see any noticable real world difference between just buying another 2 sticks of 1600MHz DDR3 and swapping for all 2000MHz RAM.
If you add 2000MHz RAM to your existing RAM you will need to run it all at 1600MHz otherwise you risk damaging your existing RAM - RAM tends to be a lot less forgiving about being overclocked than CPUs are!
Another thing to think about is cost: 1600MHz DDR3 is practically mainstream, whereas 2000MHz is very specialist, so it should be a lot cheaper to buy 1600MHz RAM.
If you're using a 64bit OS, you could always get 2x2GB DDR3-1600 to go with your 2x1GB giving you 6GB RAM total. For instance,
this 4GB Corsair kit is pretty good value @ £55...