MEN WITH HATS

My Vietnamese name, LONG, sounds the same as another Vietnamese word, LÔNG, which means "body hair".  (In the North of Viet Nam, the two words may be pronounced differently, but in the South they are all the same.)  In English, the little mark above the O is called a circumflex.  In Vietnamese, it's thought of as a head gear or hat, or nón, so that a fun name for someone named LONG would be "Long Đội Nón", meaning "the LONG with the HAT", or LÔNG.

I don't consider myself a hat person, but in reviewing my photo collection I noticed that I do have some photos with head gears.  Different head gears serve different purposes.  In these photos, can you tell what occasions the "hats" were for?  

Hint: Battle of Brooklyn 10-Mile/Relay, presented by Jack Rabbit Sports.

The abbreviation does have something to do with Brooklyn.

The T-shirt design may be too much of a hint.

Hint: I think a girl in the background was carrying a plastic pumpkin.

In case anyone is looking forward to the free My Coke Rewards code, here it is:

TMW5XB6 599N075

It's from a Minute Maid bottle, which I believe at this time counts as double, so you are looking at 6 points, not the usual 3 points.