Auto parts store cleared codes now :(

First of all hi and thanks for any further help .

so here is how the story goes this is not my car it’s my parents who are in their mid 80’s it needed some strut work so they parked it over the winter . Until I could get time to change out the struts . When I went to work on it the 12 volt battery was dead(2 volts dead). I charged the battery till the battery charge shut [email protected]

I reinstalled the battery started and moved the car to garage and did the strut change everything went fine took it out for a ride around the county block 5 plus miles every was great brought it back parked it in the garage next day my dad went to take the car out it would not start so they took the other car.
When I checked the 12 battery it was dead it showed 11 volt but only 6volts under a load so I took the battery out told they to get a new battery . The dead battery triggered lights on the dash.
My dad installed the new battery and the car ran fine other the the lights on on the dash.They dove the car I would guess about another 50 miles here and there doing this and that ( getting it lined ect ect).
Then they were going to bigger town to do some shopping being my dad the lights bugged him .He stop in a the local town to the big box auto store to have them check for codes which they did and cleared without giving him any kind of printout.
After they cleared them codes the car will not accelerate the car only runs about 6~8 mph it seems to be running on battery power when the gas engine should start the car shutters and just slows down to the 6~8 speed and is only running on the high voltage battery .Which kinda baffles me because when it back it out of the garage the gas engine starts and runs.
I have a cheap obs2 scanner and it only shows to codes P0441&P0445

I found a fairly large hole in the vacuum line to the pcv valve and I’m pretty sure the gas cap is bad..the vacuum line is fixed and a new oem Toyota cap is coming this week. The car has approximately 120k on it
I’ve tried searching the forums for days similar problems with little luck on my part I’m sure its on here somewhere if I only knew what I’m looking for