I am getting code P0600 and P2101 on a Mazda 6 2009 ck engine light on, backfires , want start or go

Question

Car want start jump car off and car want go past 2000 rpms it will barley go . Have no control over vehicle.  Back fires, bounces around, want go under 2000 rpms .Un hooked battery and now am not getting check engine light. Was getting code P0600 and P2101 codes. It is doing this about once a week. Can you please help me? What is causing this?