True... I see the stereotype often on TV and in films... but at least on this show, that was her first capture... Hardy has been captured a couple of times now, as has Weston (Mike)... this was at least her first stumble... so she's still the most competent FBI person
On another front... the "why didn't they know where Joe was after tracing the call"... I thought they had already established that he was using satellite phones and bouncing the signal all over the world so they didn't know where he was.
And the Sheriff... I kind of think they do already recognize him BUT are doing something smart and pretending to play along with him to see how he reacts. My guess is instead of running him in immediately, they are playing dumb to see if he slips + now they kind of have an area to search for the house.