Bogdan,
If you're still logged in on any other computer, you can still make a backup. However I'm pretty sure OL does indeed mention that you'll need to be doing a backup and all that. Hopefully this helps.
On a secondary note, I really appreciate how easy openledger is and how the market pegged assets of both Bitshares and OL operate. I think it's a bit ahead of it's time, but maybe I'm wrong.
On the over 9000th note, I would say 99% of the Platform that I have ever used required a BACKUP to re-load in your wallet. The notion that this is unique to Openledger is completely wrong.
Hoping the best for you.
And Bitland.

Thanks for your support.

Yes I can still make a backup of my wallet now... As I understand you have a wallet and then you can create more than one account in it. And if you make a backup of your wallet then you have all the accounts there.
I can make now a backup of the wallet but it's useless since the account that was in the wallet is gone (in fact is there on the OL you can search for "bogdanco24", but I can't access it).
I will contact support, maybe there can be done something...
Edit: To be clear, I'm using the webwallet, not the one that can be installed locally in my computer.