Is there a legally mandated filing fee and/or deposit?

Organic Law of Georgia on Political Unionsof Citizens (as of 2012 in English)

http://legislationline.org/download/action/download/id/4234/file/GEO_%20Organic%20Law%20_political%20union%20_%201997_am2012_en.pdf

Election Code of Georgia (as of 2012, inEnglish)

http://cesko.ge/files/2012/PARLAMENTIS%20ARCHEVNEBI/codex_english_electronic.pdf