Very sorry about your father. UA also did support me very well five years ago. When I was in Philadelphia for my buisiness trip. My wife was hospitalized in Japan suddenly. She is not a Japanese and she was in the hospital alone. I quickly changed my schedule to go home. When I reached the counter in the airport, I was asked by UA G/A why I needed to change the date and the route. Then, I told her about my situation. I was supposed to pay US $125 to change my ticket. However, she told me I do not have to pay it after she listened to my story.
UA is a great carrier!
Kuma