Questions & Answers about Мой муж сейчас в офисе и пишет отчёт.
Russian usually omits the verb “to be” (быть) in the present tense when it simply links a subject and a place/description.
So Мой муж сейчас в офисе literally is “My husband now in (the) office”, but it means “My husband is in the office now.”
You only see forms of быть in the past (был, была, было, были) and future (будет, будут, etc.), or in special emphatic/grammatical constructions.
Мой is the possessive pronoun “my” in the nominative masculine singular, matching муж (husband), which is also nominative masculine singular.
Меня is the genitive/accusative form of я (I/me) and cannot be used as a possessive here.
So мой муж = my husband (subject of the sentence).