You said you paid "a lot". Kel-Tecs are fairly inexpensive and it sounds like you bought a used one. How much is "a lot"?
Not sure what "3rd gen state" means. What did the seller tell you it means? Yours isn't that old and it may have been to the factory since it was originally purchased but that doesn't make it "3rd gen".
He didn't say it was hard chromed but I hope it was. That price is very high for a new one much less used. Hopefully it will be reliable. No telling though from a "friend" who sells you a used P-3AT for that price.
He didn't say it was HC. That would be nice but either way, it is not the end of the world.
It pays to do research...
and have 20/20 hindsight like me. ;D
Seriously, the prices on these guns vary from dealer to dealer around the country. Just because they have been readily available at TX gunshows for $230 (blued)) and $250 (chrome) doesn't mean he didn't pay more. People routinely pay $300 in some places.