Buongiorno! I understand your confusion but in this imperative sentence, you are saying you work with me which would be either tu lavora or voi lavorate. The conjugations for lavorare are tu lavora, lui/lei lavori, noi lavoriamo, voi lavorate, loro lavorino. Buona fortuna!
Yes. «-are» verbs when conjugated in the imperative mood switch the second-person and third-person endings; the «-ere» and «-ire» verbs keep the same endings in the «tu» form as in the present indicative. i copied from a recent post because i was confused. the tu and lei are reversed with are ending verbs. hope this helps!