Quick question about wallets
Your balance is kept in the cloud, specifically in the block chain.

Your wallet does not contain any balance info but just a private key that you can use to unlock the funds inside the block chain.

This means that it doesn't matter that you backup your wallet.dat file before your client is fully synched. Since it only contains your private keys, and not the balance itself.

So yes, after a full synch is completed, those coins will appear in your wallet. As long as you have your wallet.dat file, with the private keys associated to your address, you can access your funds.