Don’t worry, there are two transactions from bter.com into your account, check
http://chain.nem.ninja/#/search/NDJIG3MMUITTCO3L6W4XZDMXBAZXDBAVO3WNJJ2C
Vested balance is not the real balance. It’s the part of the balance that can be used for harvesting. It grows with 10% per day (1440 blocks) if I remember correctly.
Your password is to log in to your wallet, the private key gives you access to your account, which you can add to whatever wallet.I f you have the private key of your account, you could try to import it as a new account. Indeed, your account is not linked to your wallet password.
To avoid the possibility there is something wrong with your existing wallet, you could even create a new wallet first and then import your existing account with the private key. Creating a new wallet will create a new account by default, but you can ignore that account for the exercise and import your account as the second account of the wallet. If all goes well you can set your existing account as primary account in the wallet and delete the other account.
If that does not work, there is indeed probably something wrong with your local copy of the blockchain. You could connect to another node: open the settings of the NCC in your browser before you open a wallet. Set the host to an IP adres or a hostname of a running node, Save and open the wallet.