ბათუმის რუკა

*მერიის- The word is truncating nouns, so in Genitive and Instrumental case, we drop the "ა" from the ending, and put the genitive case marker "-ის", in the ending. The one you had written - "მერიას"- It is a dative case. And here we need the genitive case.

*მეორე მხარეს- You probably wanted to say "the other side of the road", and you translated literally the word "other" (სხვა). When we want to express the phrase, we use the word "მეორე", so the literal translation would be "the second side of the road"

*იაროთ - (It is a little bit different form of the verb "To go"). First of all, when you want to say phrases like: I have to, I must, I should - after these words, we don't use the infinitive form of the verbs. We use the optative form of the verb. The optative form of the verb "you should/have to go" is "უნდა იარო/წახვიდე". 

*მერიიდან - As I said, it's truncating noun, so We need to exclude the vowel "ა" from the ending of the word, and then add the suffix "-დან" 

I hope my correction can help you to improve your Georgian.

 Good Job! :)