I'm going to try to answer (been obsessing on this for 24 hours... lolol)
I believe all of your receive addresses are just "sub-accounts" in your unique wallet, so all of them together equal your wallet.
I think you just need your potcoin/bitcoin/etc receive address and password to rebuild a new wallet, methinks. Like, I go to Swaziland and buy a new laptop, download the wallet software, put in my receive address and password, let it sync, and boom- coin is restored.
And, it took about 4.5 hours for my sync to complete.
HOpe those are correct answers. Forgive me, if I err.. Groff will set us straight