The 2 pictures is parts that assisted when opening single hung window

Thanks for posting. Yes, this is a coil balance system. The pivot shoe looks like the 15-199. This shoe works with either the 1/2" thick Series 160 Coil Balance springs, or the 3/8" thick Series 165 springs. You'll need to remove your old hardware and measure the spring thickness to see what matches best. Let us know if you have further questions.