When the president, VP or cabinet secretaries travel on personal trips, they fly on government jets. However, they are required to reimburse the govenment for the cost of a normal coach fare and for normal rates per night in hotels. Obviously, the cost to the taxpayer is significantly more; however, this is due to security reasons that are part of their jobs, they should not be made to pay for these.
As far as her ticket goes, I am fairly certain that she is a guest of one of the owners or the commissioner.
Then I hope she has a good time. She should pay back ever dime. I have no problems with her globe trotting on issues, but not for fun.