I would imagine that those questions would be easily answerable if true, similar to how a border guard might ask seemingly random questions in that context but

I would imagine that those questions would be easily answerable if true, similar to how a border guard might ask seemingly random questions in that context but a series of 'uh, uh' answers might indicate something else. Sometimes investigators ask questions just to keep the target talking and build a report. Those questions are reasonable to expect a public figure politician and their staff to answer.