Not going to work SAFELY with a 570. You need a new unit with at least 450w and good quality.
9100f is a better CPU, although neither are very great. Your I5 2400 has 4 cores and threads. Upgrading to a CPU that has the same thread count and only slightly better single core performance seems not a very good investment.
4c4t tend to get heavily bogged down and stuter in modern games, or even ones that are a few years old. I remember my overclocked Ryzen 3 1200 quad core used to stutter a bit in GTAV, which is 5 years old.
View: https://www.youtube.com/watch?v=97sDKvMHd8c
Just look at this video. The I5 7600k is faster than a I3 9100f, and yet the 1600 is still better.
Save up untill you can afford a CPU like a Ryzen 5 1600,2600, or I5 9400f.