I'm sure a lot of you know this, but the use of the photo from JFK's assassination in Rose refers to the fact that the first episode aired the day after the assassination.
The first episode aired on the same day as the assassination, though until now I had never noticed that connection. Well spotted.
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The Doctor is known to have married at least three times - Cameca (The Aztecs), Elizabeth I (The End of Time), Marilyn Monroe (A Christmas Carol). Since he had a granddaughter, he'd probably been married before that, too.
Technically he only became engaged to Cameca. He left before they were married. Sorry to be a pedant

Also, very jealous that you met Tom Baker!!!!