As long as they are licensed to do the inspection for brake and light, you're fine

Not sure on the CHP thing? Last one I did, didn't need to go to the CHP for anything..just VIN verify at DMV and brake and light. You might check with the DMV what the CHP thing is about and what exactly it's for...maybe your DMV sends out VIN verifys to there?

If you have AAA, they might do vin verifys too..not totally sure on that one though...