test results 7pm

FC 6.5 (down from 9.5 at 7AM)
CC 0 ?
PH 7.4
ALK 120
CYA 65 (55 in sunlight)

Last night FC was 3.5 brought it up with 3 jugs of bleach (2.1ppm each)
to recommended cl levels for higher cya (60)
Before that I was running the pool at Cl for 30- 50 CYA
Tried never to let Cl fall below 3 but sometimes it went to 2.5,
after a party it was at 1 ppm once
What baffles me most is the CC being zero, I thought 0 CC means no algies, no shocking required.
Haven't been in the pool today so I don't know if the slime is gone with the CL up .
Do you guys still think I need to shock? (13.5ppm is 7 jugs! :-))
Thanks for your responses!

Dan