Verified answer

a P1111 is a system pass code, no problem detected

so most likely the PCM is not the problem

it could be the anti-theft system

I would check basics -- fuel, spark, compression

P0430 (and the related P0420 for bank 1) make me crazy. Although the official description of "catalyst efficiency below threshold (bank 2)" sounds like it means the cat is bad, that is actually the least common cause and in a 2002 it is even less likely. P0420/0430 are calculated inside the ECU from the output of the downstream O2 sensors. If the free oxygen fluctuation is more than expected and the fluctuations too closely match the fluctuations that are normally produced by the action of the forward O2 sensor on that bank, P0420 or P0430 is thrown. The downstream sensor is almost never at fault - it is reporting the fluctuations and as it gets old the output gets less active, which decreases the fluctuations that trigger the code. Much more common causes are bad forward O2 sensors, exhaust leaks, even leaks on individual branches of the intake manifold or dirty fuel injectors. To make it even more frustrating, replacing the catalytic converter is likely to make it enough better to keep the code away for a few months, until the condition that is really at fault gets worse or the new cat loses a bit of its edge over the old one. In short, start by making sure there are no intake or exhaust leaks, the fuel injectors are all clean, and don't replace the converter without replacing the forward O2 sensor first. The first source is specific to Honda vehicles in that it mentions TSBs but the general advice is good.