H1b to L2 COS and EAD simultaneusly / Concurrently

I want to apply H1b - L2 COS and EAD together? Is that possible and do u think it helps gain the time 1 month/2 months lost for ead processing

current processing time for L2 is 2.5 months at vermont and I765 is 3 months.

Once my L2 is approved, can I move out of country and continue working for H1b employer remotely from Canada(I have PR) till my EAD gets approved?

I have hear mixed resposnes regarding this. Don’t know anyone personally to pick one or the other. Why don’t you ask your L-1 attorney?