If I reinstall Bitcoin Core, will my previous bitcoin wallet still be accessible or will I get a new wallet? The previous wallet backup became corrupted. Will reinstalling give me back my old wallet or is my wallet lost forever? I don't have a wallet backup.
I'm sorry to hear that your wallet got corrupted, hopefully you did not have too much value in there.
I'm afraid that if your wallet.dat file got corrupted and you don't have a backup there is not much you can do.
Back up the wallet.dat file and see if you can find tools to help you fix it.
Reinstalling core will not do much to help you restore a corrupted wallet file.
Can you open the old wallet at all? Perhaps you can export the private keys that are in it?