The pattern that is recognized in these examples is that the grammatically correct translations use the present progressive verb conjugation (estar + gerund) while the grammatically incorrect translations use the present simple verb conjugation (ser + gerund).
In Spanish, the present progressive verb conjugation is used to express actions that are currently happening, while the present simple verb conjugation is used to express a state of being or a habit. For example, "estoy comiendo" (I am eating) is used to express that someone is currently eating at the moment, while "soy comiendo" (I am eating) is grammatically incorrect and does not make sense in this context.
Additionally, in the first set of examples, the grammatically correct translations use the pronoun that match the subject of the sentence, whereas the grammatically incorrect translations do not match the subject of the sentence.
In conclusion, it is important to use the appropriate verb conjugation and pronoun according to the context in order to form grammatically correct sentences in Spanish.