You can do westside whenever, but if you're just coming off SS, than chances are you simply don't know enough about your body, or your training to do it. Westside is a thinking-mans program and it really helps to have someone who knows how to run it properly and assess properly your first go through.
Since you're not very strong, and you don't know how to assess, and don't seem to have access to someone who knows what they're doing, go hop on another program that is a bit easier to run and LEARN YOUR BODY. Even if you figured out that you have a comparatively weaker chest than your weak triceps, you don't know what works FOR YOU to fix the issue yet.
Many people will recommend all sorts of stuff because biomechanically it should work, but you may find that various recommendations do not work for you.
As much as I love Westside, I'd run something a bit easier and less thinking required until you learn your body. Go give 5/3/1 a try.