The airbag light would have nothing to do with emissions. If they are doing a safety inspection, it would fail.
No
In pa it will pass an inspection
Yes.
If NJ has an emissions standard, no. You'll have to repair whatever is wrong before the vehicle will pass emissions.
No it will not. If the car is relatively new, the airbag system may be under warranty.
Replace the light bulb.
No, it will not.
No, if you air bag light is on or showing an error in Texas your car will not pass inspection. In some cases the light comes on for no reason and just needs to be reset.
You will not pass inspection in NJ with an airbag light ON. If you owned the car when the light came ON and your airbags have not previously deployed, this could be a sensor or wiring problem. If you need new Airbags, the repair could be as much as $1000. Most mechanics will charge 1 hour labor for diagnostics.
Yes, the Traction Control System (TCS) light has nothing to do with emissions.
In order to pass inspection a car cannot have any warning lights on. The airbag light can be turned off with an OBD scanner, by clearing any codes that come up.
Emissions yes, safety no, SRS is safety restraint system, it includes your seatbelts and air bags. Many states will not emissions check any vehicle with a malfunction light on, see what the regulations are in your state. You should get the problem repaired asap.