It might not "sync" properly... That client is so old and outdated, that it might not be working correctly. However, if you have managed to open the .wallet files with MultiBit Classic, then you might want to try:

1. Look at the "Request" tab... it should show any addresses contained within the wallet. Then check those addresses on a block explorer like blockchain.com or BlockCypher

2. Try and export the private keys using "Tools -> Export Private Keys"


Finally, is the wallet displayed with a little padlock icon this:


If so, it is definitely password protected and you'll need that password to send coins or export the private keys