LastMinute.com review: Refund

Booked a flight back in December 28th, 2023 for the 15th of February 2024, from Auckland NZ to Inverness, Scotland. I arrived at check-in and the ticket had my first and last name were switched, obviously this didn't match my passport, preventing me from boarding. After 2 hours I was finally able to get a hold of customer service through a chat service. I stated that I needed my ticket changed and they asked that I provide an itinerary number - I was not provided one on my confirmation email, nor my account with Lastminute.com. When I told them this I was asked to provide my email address, which I did, they then responded that they didn't have my email on file. At the time I was looking at the confirmation email THEY had sent me. I had email conformation of my flight, booking ID, airline PNR number, e-ticket number and 2 invoices - this was apparently not equivalent to the itinerary number they did not provide me or the email they had lost to prove that I had booked the flight. After going in circles for 30/45 minutes they told me there was nothing they could do. I missed all three of my international flights home and was left with no alternative.