So what is your plan of attack now???
I realize your check trans light is not coming on but without any testing software available your in between a rock and another bigger rock!
Just for kicks, go to this thread and learn how to reset your TCM. I am in no way saying this is your problem but at least you can a) give it a try and see if there are any changes in drivability and b) learn how to reset your tranny computer. this could be useful someday in the future, you never know!
https://www.skoolie.net/forums/f37/resetting-check-trans-light-44000.html
I was taking a look at the codes you posted earlier. what kind of stands out to me is the 626 Unexpected reset fault code. Why did this one occur???
626 Unexpected reset fault code - is a power or ground issue to the ECM. Check the ECM clean power harness in the battery box, all of its connections and fuses. Follow that harness from the batteries to the ECM. Check the ECM power relay as well. Look for loose connection and or melted plastic, corroded connections along the way.
134 APS signal and IVS disagree - This could have been triggered by the unexpected power loss to the ECM.
If you have a faulty loose or dirty ground then that could cause the ECM to try and find and utilize other "Grounds" within it's electrical reach which in theory could have caused the "Temperature" codes.
All this is wild from the hip, troubleshooting. I am not there to see your bus and your not providing enough info to go much more forward.
Are you yourself handy enough to use a multimeter and get your hands dirty to check some things out?
Your ECM has an inline fuse that powers it up, usually located in the battery box. If that wire, inline fuse holder or connector has been overheated and/or just plain loose and dirty you can expect to see weird operating issues with the bus.
find that fuse, remove the fuse from the holder. Inspect the legs of the fuse. are they both clean or are they dirty/black?
also check the terminals inside the fuse holder for the same conditions.
Check the actual connection to the battery too.