Not all EE's have muffs (but many/most do) and there are other breeds with muffs which aren't EE's. My mind is drawing a blank. Um, favorelles and a few others
Yes, most EEs are muffed and bearded... other muffed and/or bearded breeds...... Ameraucana, Orloffs, Faverolles, d'Anvers, d'Uccles, Silkies, and I'm sure there are others