Actually, alot of the professionals do NOT use headphones.
Headphones for a live mix is completely useless as you need to hear what the people are hearing.
Professional mixing and mastering engineers pretty much never use headphones either. See any picture of any professional studio and you will see multiple sets of monitors. It's possible some check the mix on phones but they sure don't mix with them.
The musicians will use them during recording, and in ear buds during a live show but even then, for live, many still use regular speaker monitors.

I think you did a good job.
Cheers.