P0513 is indicating a problem with the car’s ignition key, which should have the car’s VIN and skim PIN code to deactivate the immobiliser. If you have a spare key, try that. P0 430 indicates a problem with the catalytic converter. There are a number of possible causes for this, it could be fuel system problem, a clogged converter, or a damaged oxygen sensor. Take the car to a dealer and have it investigated.