Can you tell me if there were sweathouses on the Missions or were these done away with during Mission period?

My understanding is that there were no sweathouses on the mission property. The missions did have elaborate water system and water was available to wash. In the early years there were still Indian villages in the area near the missions and I am sure that neophytes returning home for a visit used the traditional sweathouses, particularly in the Chumash territory. There were hot springs near some of the missions and these were frequented by the Spanish and others.