This is complicated! "Was to have done"can be used like this: I was to have it done yesterday but didn't. I was to have my haircut yesterday but missed the appointment. it is used when the event did not happen. "Is to have done". He is to have his teeth worked on Friday. This construction deals with a future event. You could also say "I was supposed to have it done yesterday", or "he is supposed to have his teeth worked on Friday." This is probably more common in American English. Hope this helps!

I think Cate has given a useful keyword: "supposed to". We use "to be to [verb]" for expected actions.