Even though I have no idea which games you are playing, resolution, your actual temps, or your detailed specs in general I'd be willing to bet the processor is your problem especially with choppy gameplay. As lazy as it sounds I'd just do a complete rebuild with a GPU upgrade later on. You have no CPU upgrade options and any decent GPU would be gimped by your CPU.
Comparing your PC to another one isn't useful unless you have the exact same specs, software, OS which is unlikely.
I'd rebuild with something like Ryzen 3 and bring the GPU over to the new system. 2200G is cheap and 70% better than what you have. You can get that, the DDR4 RAM it needs, and the motherboard for under $300 USD.