The answer to my own question will not deal with all issues mentioned, but because there are no other answers I'd like to share my experiences.

I wasn't personally camping in the Georgia, but I've met people that were camping and I've seen people camping.

Georgia has still underdeveloped tourist base, the most of sleeping places are in hotels (big cities) and gueshouses/private rooms. But I've seen the advertisement of the camping place in Mestia (Svanetia) and I've seen people camping before bar in Vardzia (so their backyard was a kind of camping place, you can say.

I've met a few Israeli tourists that were doing trekking from Kazbegi to Tushetia and they said they've sleeped most of their nights in tents and there were no security issues. But they've camped only in the places far from villages, when they were near some village, they've stayed there.

I've also met one guy travelling from Usbekistan to Georgia via hitchhike and sleeping in tent, and he have said, he had no problems or security issues, neither from the people nor from the wild animals or dogs.

But one thing you should always avoid is to get near the sheep flocks, because they are protected by very aggresive and big dogs, which task is to protect the animals from everything including wolves and bears.

The answer to my own question will not deal with all issues mentioned, but because there are no other answers I'd like to share my experiences.

I wasn't personally camping in Georgia, but I met people that were camping and I saw people camping.

Georgia still has an underdeveloped tourist base, most of the sleeping places are in hotels (big cities) and guesthouses/private rooms. But I saw a camping place advertised in Mestia (Svanetia) and I saw people camping outside a bar in Vardzia (so their backyard was a kind of camping place, you could say.

I met a few Israeli tourists that were trekking from Kazbegi to Tushetia and they said they'd slept most of their nights in tents and there were no security issues. But they camped only in places far from villages, when they were near some village, they've stayed there.

I also met one guy travelling from Uzbekistan to Georgia by hitchhiking and sleeping in a tent, and he said he had no problems or security issues, neither from people nor from wild animals or dogs.

But one thing you should always avoid is getting near flocks of sheep, because they are protected by very large and aggressive dogs, whose task is to protect the animals from everything including wolves and bears.