Will my po find out if I leave the state and get pulled over but no ticket is given and my name was run?

Not if was" jus run" and nothing else. If a report was made, charges were filed, or arrested yes but if not nothing to worry about bro!

You should still report this police contact to your PO just to be on the safe side.

Has this happened, or are you worried, if you are stopped they will see you are on probation and ask to see your permit to travel out of state ( or they should)

So if you don't produce this paper, they notify the probation department.