OK,

So I choose option 1 and let it complete the TX hash scan.
I waited, waited and then waited some more, and yes!, it finally came through!

It displays 'connected' and everything you wish for,
however there is still "a little something" wrong:

All balances on all wallets are empty and there is no sign of transactions, while I am very sure that I made transactions and had positive balances before.

I'm back to loosing all trust in Armory and have the feeling that I should accept that everything's lost in cyberspace thanks to "the most secure platform".--- NOOOOOT !!!!
I'm very glad that I only made some deposites that I had spare, for testing purposes and that my other money is still in a regular bank.

I made paper backups and my best guess now is to see how I can get access to my BTC without using Armory itself.

Or is there a second opinion to this ?