Ok, I re-read all the recent post Marlena, and I guess Boujasim is right, correctig everything will be a long and painful procedure, paying lot of money, and you can't afford all this time.
I have a suggestion for you, that might make you a little bit more confortable about Boujasim idea, consult an immigration lawyer , tell him the situation and provide him with the research you made about civil marriage in lebanon, and the problem you have in your legal paper in lebanon. and let him make a letter to Damscus explaining everything, he will have his own way and his own word to describe the situation, and along with his letter provide them with research and laws in lebanon.
I will try to make some research for you, if I manage to fing something useful, I will send you the link.