Even though it's still syncing, I would have expected my old balance to show up since the network was up-to-date when I last used the program.
If you've synchronized past the date that the transactions occurred, you
should see them.
Is it normal to show up as 0 until the sync is complete?
No.
I've also noticed that the two "receiving addresses" that are listed as having being used before have no transactions associated to them.
I'm running v0.9 and still have a couple of years to go.
Then again, you are running a very old version of Bitcoin Core. This is not recommended. I highly advise that you upgrade to 0.14.0. This will synchronize faster.
Alternatively, if you need quicker access to your funds PM me. Watch out for scammers and phishing links; I am sure that people will contact you in an attempt to scam you.