Thank you for your answers. In my case there is no way to skip the check. About spreading something with my account, another strange fact is that i have access to my profile on the phone, so its not totally blocked, only the access from windows on my computers (Firefox and IE on Win 7 and 8, also in privacy mode).
I understand that facebook decides how to handle my account in this case, but according to the topic <ESET and Facebook - not a good idea> I think it makes look ESET bad too. My first impression was that this scanner is malware itself or a company with a very aggressive marketing: Use our product or say goodbye to your social contacts. I'm even forced to agree to a licence agreement from eset that is only available in english and that probably half of facebook users wouldn't understand entirely.
I'm teaching people about privacy and security and for me this message in facebook is totally unacceptable. User proactive services brought this up earlier too. Of course you don't trust a website who tells you that your computer is infected. If you are in doubt, use reliable software to check, but never ever download the software that is offered with the infection message. There is even an instruction to assign authorizations if asked. I hope nobody is so careless following this instructions without some research.
Even if I know more about ESET now, as a matter of principle i will not use this scanner and I want to find out if there is a another way to get into my account again. I would be great if someone could tell me a way to get into discussion with facebook about this topic. Of course i tried to contact them through the problem report form and with personal message in their profile, but as expected there was no response yet.
Edit: After 1,5 days the message is gone and i have full access.