[ChevyGuy]

The B3883 indicates a problem detected in the circuit for the license plate light. There's a subcode that details the fault. Odds are, it just means you have LED lights installed and it's causing a false "open circuit" fault. I would suggest replacing those bulbs with a ordinary bulb and see if the code goes away. I doubt if it's the main problem, but it will keep anyone from chasing a red herring from a code that's not part of the problem. If the code remains after resetting and changing the bulbs, then maybe you need to take a closer look at that.

I'm not sure what's causing the problem. I'm tempted to say that it's the dashboard sensor or the wiring to it. This isn't a problem I've seen reported on the forum before. My shop manual seems to indicate that the dashboard sensor just pops out. Nothing to disassemble.

 

[ChevyGuy]

And I also have a clicking going on at the same time on the passenger side.

I suggest you try to track down the clicking noise. I don't think the lights use relays (except for the high beams). And the relays are on the left side of the car (driver's side for North American cars).

I'm thinking you may have an aftermarket alarm system that hasn't been completely removed.