Does not seem like your system should have a problem. One thing that can cause something that looks like "stutter" is a lack of RAM. I play BF3, and actually sometimes do go beyond 4GB. Not because of the game itself, but because I am sloppy, so my browser is open with a few tabs, and there are some other applications running that I use inbetween matches etc. I could eliminate the issue by being more careful about ram usage, but opted to go for 8GB instead. After the upgrade, any issue I had before disappeared.
edit: I see you added ram to the specs and you have 16GB, so that should not be an issue. I disagree that 1333 Mhz is too slow. The real world advantage to faster ram, like 1600 Mhz is really not all that big, and it definitely should not be the cause of the issues you describe here.