Does it support his reason for being in that lot at that time?
Per Brett, the police checked with the person he was going to meet and she backed up what he said.
A while back when a cop asked me why I had taken a particular course of action my reply was "sovereign election". While I am sure you would have considered that smarmy, he accepted it as a reasonable response.
He doesn't need a reason to be in that lot at that time. If it's open to the public he's allowed to be there and doesn't have to explain why.