Help with P2563 and P003a Code

[ranger374]

something like this always happens when you are out of town

06 chevy 2500 duramax

got the code P2563, and when i tried to clear it, at showed an error reading, so i unplugged the device (auto zone accutron reader??) and re-scanned, then the P003A code came up as pending, but it would not let me clear them.

What does this mean??? i did a little research and found out it has something to do with the turbo??

Will it damage anything else to continue to drive it like it is--it seems to be working fine to me; however, i am not towing anything on this trip. have about a 4-5 hr drive back home.