For starters, it looks like you got your results from a pool store... which are notoriously unreliable. It's best if you get yourself a good test kit like the TF100 most here recommend. You will have much more accurate readings without having to run to the store all the time, and will clear your pool more quickly because of it. When I first started here I was annoyed with everyone telling everyone to buy a test kit... trust me.. it will be your pools best friend!
I'm guessing that your CYA isn't really 13. That is pretty low if you have used any pool store products such as shock or pucks. Plus, anything under 20 isn't real accurate for that test. Even though you have an SWG, I wouldn't add enough for an swg until you get the pool clear and pass an OCLT (overnight clorine loss test). If your level is below 30, I would aim for 30 until you get your water clear.. means less chlorine to do the job, then bump it up to 70 when you are ready to use the SWG again. It won't keep up with the volume of chlorine you need to shock/SLAM your pool.
If your pool is cloudy, you have some kind of organic in it. Could be algae, dead algae, pollen, etc. Anytime you have cloudy water it means a need to SLAM (Shock Level and Maintain) your pool. Here is a link to the process
http://www.troublefreepool.com/pool-school/shocking_your_pool. To do this you first need a truly accurate CYA test result to know what your shock level is. Shocking your pool is a process, not a product. You will need bleach, non-scented, nothing fancy bleach to do the job... there are different concentrations of it now, and that's fine.. the pool calculator will help you figure how much you need to add.
It's also a good idea to go to pool school and read the ABC's of Pool Water Chemistry to get a good understanding of how to balance your water.
At this point I would try and maintain a your FC until you have a good test result for your CYA. Then you can start the SLAM process. No need to drain any of your pool at this point. Feel free to post test results again at any point... I'm just not sure I would trust a cya reading of 13. What shock and "sick pool products" have you used?