ARDUINO UNO TO NANO

Pylon told not for the D13 , what that mean?

While the Nano has an LED directly over a resistor on D13, the UNO has an opamp in between.

I use this pin D13 and D12 to test a contact and it is going to ground. is it the problem?

Depends on the schematics but from your short description I would say it's a problem for the Nano but not for the UNO. Post your wiring diagram!

i think there a problem on the supply, near CC at this time over 9v on the main supply (12v normaly).

I don't find the context for this sentence. Please explain in more detail.