I thought the reply from LH customer service was good. Afterall, there are notes in the booking that the passenger arrived to the office at a certain time (15 minutes after the check-in was officially meant to be closed), so to offer $150 seems generous. The agents in CCS could certainly have entered this incorrectly, but then it is a case of the passengers word against the agents. I don't see that a court would find in the passengers favour, even with the best lawyer.