Hello, Stephanie. Looks like your coil balances need replacing. I can help you, but first I will need to see pictures of the pivot shoe. That will help us pinpoint what kind of system it is you're using. If you can also provide the thickness and width of the pivot shoe, that would be a huge help.
If I were to replace this on a window on both sides, I need to buy pivot shoe for left and right sides of window, how many coil springs? and a particular weight class? Also is a coil spring and coil balance two different things? do i need new balance supports? of so which ones?
No, these parts do not come in left or right. They can work for either side. A coil spring and coil balance are the same thing, those are just different terms. You use the same number of coil springs that you have now. The goal here is to replace your hardware with exact matches to what you have. There is a particular weight class, which you can match up by looking at the number printed on your current spring. You do not need new balance supports if you can reuse your old ones.