Throwing multiple codes, no start in morning

[MikeC06]

Started my car the other day, within 5 seconds it shut off by itself, was roughly 5F degrees outside.
Started up in the afternoon when it was roughly 15, no problems, but I did notice a performance loss and idling weird.

Codes:
u0100
p2105
p2106
p0606

Brought the battery indoors tonight, to see if it's just too ****ing cold outside, if this solves it, then okay, but if it doesn't, I'll go get it checked out, as somewhere else on the interwebs, someone was saying a new battery solved the codes starting with P, not sure what u0100 is still though.

Hopefully I don't need to get a new TB..

[Aveo5_boy]

not sure what u0100 is still though.

U0100 is lost communication with the PCM.

[petrified.rabbit]

those could all be battery, the aveo computer seems to not function under 12v. and I mean close to 11.99v seems to cut it off.
I fixed a hyundai recently that when cranking the batter would drop to 11.96 volts and shut the computer off.

but that voltage is still enough to crank.. cranking with no engine start can send codes. the thing about codes though is a lot of them will set set if the engine runs.