If you were granted a Final protective order by the court, and your husband was ordered by the court to vacate the premisies, then no, he could not sue you to get back into the apartment. Regarding removing his name form the lease, that is up to the landlord. More likey is that the landlord will not release him from the lease until the date of renewal. In fact, both you and he (presuming that both of your names appear on the lease) will be responsible for paying the lease, presuming you were to move out, until the lease was up for renewal and no one paid it at all.
Answered on Jun 10th, 2020 at 4:43 PM