I saw 'broadcast' and thought it must be a homophone (like 'on the radio').
13a Be widely involved with filling in index? The reverse? (4,1,6,2,5,3)
Is this 'Have a finger in every pie'? I can't see the index and reverse bit of the clue.
10d Remote spot Yankee's found in going to N Ireland (5)
Eyrie? There's y for Yankee and almost 'Eire' but I can't twist that into 'eyrie'.