Each province has their own set of terms (example: How long new residents can use an out of province license before having to exchange).
That being said, your license must be valid. You cannot apply with a suspended license in any province. I'm assuming your brother is currently suspended due to unpaid fines.
All provinces also have a reciprocal agreement in regards to traffic offenses. If your brother has issues with getting insurance in his own province, it's not going to go away in another.