By all accounts Lee was detained at the airport and arrested. Going to the airport, to film yourself supposedly catching a flight, whilst knowing you're on a travel ban, isn't smart! I suspect facial recognition caught him on camera, and he was arrested and detained.
Of course, he may have decided it's all too much scrutiny and decided to try to fake his own kidnapping! How can anyone film themselves, whilst tied up???
I can't believe Katie is that stupid, to fall for such a stunt, so the only other option is that she's aware of exactly where Lee is, and the entire situation is for publicity.
I've never been convinced Katie and Lee are legally married. A couple can have a marriage ceremony in Dubai, but unless the documents are logged with the Court, then it's not legally binding. All the photos of them together, look staged and unnatural.
Lee is a con man. He makes a living by scamming women out of money. He's created a Walter Mitty world, of smoke and mirrors.