4 codes, possibly just the battery?

2008 Pilot, 155k miles. CEL came on, codes are 61-1, 83-1, P0344 and P0420. On my next trip after the CEL came on, the VSA and /!\ light came on. Then the engine started jerking real hard at around 30 mph. Next trip, CEL is still on but no VSA or /!\ light, and no problems. Next trip CEL light is off for the first 5 minutes, then CEL, VSA and /!\ lights are all back on, and the jerking it back between 20 and 30 mph. My research says this could possibly all be a battery issue, but I know how that is. New alternator installed two months ago. Thank you in advance for your time and any insight you may have!