You have a lot of competition in not only your direct neighborhood, but also your city. Seems every flat in the city is available! And so affordable compared to my area!!! Wish the flight weren't so long - I'd be on a plane!
So I think you are going to have to differentiate your flat, and yourself. WHY should anyone choose your flat as opposed to the many others - even in the same complex - as yours?
I don't think your first photo is doing you any favors. Experiment with a different lead photo. I would try the one of the white bed, from the footboard area - but if possible, retake it and make sure the corner of the single bed linens are not visible.
Also - and I'm asking, I don't know - is the area really unsafe? All the talk at the beginning about security doesn't comfort me, it makes me wonder if I should be worried.
I don't know what type of travel brings visitors to Tblisi - but maybe target your intro them. Personally, when I travel it's all about food. And I enjoy viewing architecture different to what is common in my area. If your visitors are from other countries, make your flat about Georgia, and if possible, Tblisi. I like to feel like I'm in a foreign land, when I travel abroad.
Just my loosely structured thoughts - they may or may not be good ideas.