Codes U1000 and P1612, immobilizer?

Here are what the codes mean:

U1000: This is a generic DTC that indicates a communication fault in the network between various control modules in the vehicle. This code is usually triggered by a wiring issue, poor connections, or a faulty control module.

P1612: This code specifically relates to the Immobilizer Control Module (ICM) in the vehicle. The ICM is responsible for preventing the engine from starting if the correct key is not used. The P1612 code indicates a communication error between the ICM and the Engine Control Module (ECM), which may prevent the vehicle from starting.

The P1610 code is a diagnostic trouble code that is related to the Engine Control Module (ECM) in a vehicle. Specifically, this code indicates a problem with the Immobilizer system

So, both of these codes can be caused by a bad BCM which controls the Immobilizer system. First, I would check all of the fuses with the key on.

https://www.2carpros.com/articles/how-to-check-a-car-fuse

If the fuses are okay, I would replace the BCM, you can get a preprogrammed unit by searching Google or Ebay. Check out the images (below). Please let us know what happens.