Wow Lee! you've stepped into the minefield here!
The two thermonuclear questions in a single post... you are obviously a man who likes to live on the edge..........
These two questions have probably caused more 'discussion' on these boards than any others.
Pikes.. well, some say there is evidence that some English regiments continued to carry them perhaps even as late as 1707 in Spain.
A tricorne is just a wide brimmed hat pinned up on 3 sides. Pinning up
seems to have been a matter of fashion even into the 'tricorne' period. Illustrations both contemporary and modern often show a mix of hat styles.
There appears to be some evidence that tricorne shapes were worn in the 1680s.Equally there is evidence that broad brimmed hats were worn after 1710.
A -, battered tricorne reverts often to being a broad brimmed hat so, you must nail your colours to the mast of your choosing. I personally would not be fussed about tricornes or broad brimmed hats. Geometric tricornes are i think not very realistic nor are the extremely deep ones. I am sure there will be several 'incoming' rounds to follow... helmets... ON!