Given that Core is showing as 7 years 43 weeks behind, you haven't synced up to August 2012 when your transactions were made, so Core is treating them as unconfirmed until it has the block data to show them as confirmed and add them to your balance.
Click the bar at the bottom that says "7 years and 43 weeks behind" and it should pop up a window that shows exactly where it is synced to.
Also, you only need to sync up to Aug 14th 2012 to have all the transactions that your wallet currently knows about... However, there may be newer transactions that your wallet is unaware of...
Alternatively, you can export your private keys and import them into Electrum and you'll see your transactions and total balance within moments...
"Help -> debug window -> console"
Then use either the "dumpprivkey" or "dumpwallet" commands to export your private keys as required...
Download Electrum from here:
https://electrum.org/#downloadInstall and during wallet creation, select "use public or private keys" option... Then copy/paste your private keys. I'd suggest doing all this offline, so as to minimise the chance of leaking your private keys...
Personally, I would create a new HD wallet in Electrum ("create a new seed" option) and then "sweep" the private keys... This will cost a transaction fee as it effectively sends the coins from old addresses to a new address in your new wallet, but offers some benefits like having your wallet backed up with the seed, coins are now on new (unexposed) private keys etc