No more than you would in your own house. Your rights do not diminish inside your home. However those of your visitors do. If they don't like it, they can leave, or be removed. Same thing with a church or any other private institution.
Nonsense. If you invite someone into your home, that makes it difficult to assert a case that they are trespassing, and that holds true even moreso for a church that issues an open invitation to EVERYONE to attend.