From what I've seen about both, Ares should win. Tyr has few good fights, but rather coming down skill in using weapons. Ares has all types of feats: skills, durability, strength and few "godly" powers, but I don't think that the last ones would be usefull here.

Do they have weapons here? And if so, which ones?

There are no weapons in this battle. Only physical battle using their fists.

There are no weapons in this battle. Only physical battle using their fists.