To answer your first question, the cost of life in Lebanon is cheaper than Turkey. That's in general. On a personal level, I am a retired governmental employee. I get free healthcare for myself and family, including my son. My son also gets up to 40% discount from his college since he is family of retired government employee. We also have some things paid for in Lebanon such as car and other things we invested in that is lowering our bills (solar panels for example).
Us staying in Turkey will, or even him, will come with a higher cost of living.