I thought the ending of the first pronoun was alway "-ok". How dow we know if its -om or -ok ?
Why are these in the definite conjugation? In English, they don't have direct objects which could be definite; is that not the case in Hungarian?
They are not definite conjugation; they're indefinite conjugation of -ik verbs.
For example, if the subject had been "you" instead of "I", it would have read Nem játszol, hanem dolgozol and not játszod, dolgodoz as the definite conjugation would have.