I began watching Parallels on BBC America today, that has been broadcast Monday March 25 at 4PM CST on BBC America. The first missing scene I noticed was where Picard asks Worf how old he is at his birthday party.
Then, a short time later, when he asks Troi about "formalizing" their relationship and becoming Alexander's "God Mother". The part of the conversation where she explains "that would make my mother your step mother...." is completely missing from the BBC broadcast.
I stopped watching at that point! I just cannot imagine why this is going on, and how many more episodes have missing pieces.