As Sassygirl said - go with your gut! You have instincts for a reason.

When I was brand new I had a family book an interview with me, and then call me 20 min after they were supposed to be here saying they forgot, and they were really sorry, could they rebook? So I was nice and rebooked. They were 30 minutes late for the second interview, and when we got to talking about personal days and what happens when I need them, the Mom says to me "Well that won't work for us. You can't do this stuff on the week ends?" And I said "Nice to meet you".