The Chabad House is located at 25 Kote Afkhazi St, Tbilisi.
Many kosher staples can be found in Georgia, and you can have updated list of kosher products e-mailed to you.
Shabbat services are held in Gori and Kutaisi, but they don't always get a minyan.
Only Tbilisi has a kosher mikveh, and you'll have to coordinate your visit ahead of time.
Since we only eat halav yisrael, we have no information about this.
No, unfortunately. Global corporations manufacture products with identical names in different places in the world.