Uhhh --- my guess is that your pool is now clear?? In your small pool, 1/2 gallon of 3% bleach is gonna take the chlorine level to 15ppm!

Can you please tell us ingredients of 15% multifunctional shock?

The best price anyone has found so far (to my knowledge) for the Taylor 2006 is at this place:

http://www.amatoind.com/taylor-k2006-test-p-555.html

BTW -- in 1000 gallons, 1/2 cup of 3% bleach will raise your cl by 1ppm and 1/4 cup of 6% bleach will do the same. As soon as the pool is clear, you should try and keep your cl between 2-5 all the time right now because I doubt you have any cya in there. In your hot pool, algae's gonna want to grow fast. You'll probably need to add bleach morning and evening until you get some cya in there.

Repost with ingredients and we'll go from there.

EDIT -- Does your pool have a skimmer basket? You may want to try some skimmer socks to help filter out a lot of the stuff which is most likely dead algae. That could help with the cartridge clogging problem.