The word "aþaðý" is not derived from the verb "aþmak". aþaðý literally means "down".  To examplify, come down: aþaðý gel. And, as for "karþýlýklý", it refers to the actions that occur between at least two people. Actually the best word to express "karþýlýklý" is a latin word "inter". The sentence you have sent means "Among whom does the following conversation take place?

Your grammar is beyond the expected level that a beginner may attain. It is almost perfect. what you lack is that as far as I obtained from your writing; you use a bad dictionary" üniversitede çalışıyorum: i study at university": it should be "üniversitede okuyorum". and the usage of "ğ" sound. "deil" should be " değil". besides these small but crucial aspects of the language, your Turkish is very good.Keep going....

your writing in Turkish is tangible but still you need to practice some crucial units of linguistics aspects of Turkish so that you may have a good command of Turkish. good job! well done!