so im traveling to Georgia by train from Turkey
No, you certainly are not. There are currently no trains from Turkey to Georgia. You'll have to take a bus or fly.
which places are suitable to take a photos ( natural, historical , ... ) ?? Are there many cities or places to visit after BATUMI????
Yes, of course there are. There are many, many places to see in the country of Georgia. However, this is the kind of vague, open-ended question most posters on this forum find extremely annoying. Don't ask people to write an entire travel guide for you. Do a little research on the country on your own--you could start here, or even here on the Lonely Planet site-- then come back and ask more sensible questions about specific destinations. My own Georgian Top 10 must-sees would be: 1) Svaneti 2) Tbilisi 3) Vardzia 4) Kazbegi 5) Kakheti 6) Borjomi / Bakuriani 7) Davit Gareja 8) Batumi 9) Mtskheta 10) Gori / Uplitsikhe