Does Armory need to be online so that this works (sended to incorrect adresses) or is the transfer from one wallet to another long due to the blockchain ?
Having said that, unless you also have a (fully synced) Bitcoin Core full node will all 170+ gigs of blockchain, you are not going to see your bitcoins. Armory sits on top of Bitcoin Core and uses it to retrieve blockchain data, so without it, it will never see your Bitcoin transactions. The other side of this, is that you will not be able to send your bitcoins out of Armory.
Your options at this point are:
1. Install Bitcoin Core, let it fully sync, continue using Armory.
or
2. Export your private key(s) from Armory and import them into a different wallet to get access to your bitcoins.
or
3. Do nothing, knowing that your bitcoins are secure, even if you can't see them.
If you wish to continue using Armory, I suggest you have a read through the threads on the Armory sub board (https://bitcointalk.org/index.php?board=97.0)... particularly the "pinned" messages at the top with links to the most recent version (0.96.4 RC3)... the guys there are pretty helpful and should be able to help you with any issues you have.