I think those numbers, and the water, look pretty good for a guy who just took over pool maintenance!
I agree. 60 is great for me in the Chicagoland area, and ok for you, but 70 would be even better
Also agree. Sometimes TA likes to sit where it sits, and 120 is not too bad. It does not look like you have a lot of aeration easily available on the pool (waterfalls, bubblers, etc.) so the process of getting the TA down quick isn't as easy. I have tools for aeration, and any time I got the TA down, it would go back up because of my fill water. Keeping my PH in the 7's, my TA likes to float between 90 and 110. Using the water features normally, I need muriatic acid to bring down the PH, and so follows some TA, but when I fill the pool up, it bounces back up. Now I focus on my PH and my TA floats where it floats and I do not even worry about it.
Very exciting times for you!