I've tried that, didn't really notice any difference. Do you know what the 'rate' setting does and what I should set it to?

My projectiles have a very slight delay - not huge but noticeable. I recently changed my interp settings, and gameplay has generally been smoother, but there have been times where shots that didn't land should have. Furthermore, some enemies and teammates are very choppy, moving around like a slideshow. I consistently have low ping (single digits to a max of about 24). I don't really know what could be causing this. I've changed my interp settings many times and each has brought new problems. Here are the current commands in my autoexec file:
cl_cmdrate 67
cl_interp 0
cl_interp_ratio 1
cl_lagcompensation 1
cl_pred_optimize 2
cl_smooth 0
cl_smoothtime 0.01
cl_updaterate 67
rate 120000

Any help would be appreciated :)