Hi Yad!
We do not worry about or test for Phosphates or TDS. The test results you've posted look like Pool Store numbers, which are often unreliable. Before you make any drastic changes/additions, I'd recommend you get yourself one of our Recommended Test Kits (
Test Kits Compared), like the
TF-100, and perform your own set of tests.
I wouldn't add stabilizer until you confirm with your own test results, because once it's in the water you can't remove it without draining. Also, liquid stabilizer is much more expensive, so unless you already have some just get dry stabilizer and dissolve it in a sock inside the pool next to the return.
Don't worry too much about the TA -- assuming your pH level is correct, just add enough MA (muratic acid) to get the PH down to about 7.4. The calculations aren't exact, so it's easier to add a little less than needed and then re-adjust versus risking lowering your PH too low. Your TA will come down some with the pH. When the pH drifts back up, you'll add more MA and the TA will keep coming down and stabilize over time.
As for storing your MA in between uses, I keep mine outdoors in a loosely-covered 5-gallon bucket. It's corrosive and has a vented cap, so it's ideal not to keep it in a garage or near metal.
If you haven't already, have a read through
ABCs of Pool Water Chemistry.