Do you have to let them in? What happens if you don’t?
If they come without a warrant, even if accompanied by a police officer, you are under no obligation to let them into your house. In fact, it's in your best interests not to.
Understand, however, that if you turn them away because they don't have a warrant, the next thing they will try to do is to go get a warrant. That's why you want to have the phone number of a good local lawyer and the HSLDA on hand.
See #42 and #43 if you please.