Here's your plan of attack. You already ordered your kit. Until it arrives, keep adding 5 ppm liquid chlorine a day with the pump running. Pour slowly (no splashing) in front of a return, and keep the pump on for at least 15-30 minutes afterward to mix it in.
Take the floater out of the pool.
Filtering: What kind of filter do you have? Do you know the clean pressure? It needs to be backwashed or cleaned when it reaches 20% over the starting/clean pressure. Of course you need to know what the clean pressure is to know when it's reached 20% over. If you don't know the starting pressure, then you'll need to clean your filter to find out.
Scoop, scoop, scoop the debris. I see a lot of dead leaves on the ground around the pool. If you can clean those up and move them away from the pool, too, that will prevent them from blowing into your pool. You know, in all that free time you have since you've just moved.
Once your test kit arrives, do a full set of tests and post them here. Then we can advise what to do next. It might be jumping straight into a SLAM, or it might be starting with a water exchange.