No. It's not necessary.
Only capitalize the word 'football' when it is the beginning of a sentence or forms part of a title.
You call it football because you play with ball and kick the ball
A soccer ball is round, a football is shaped like a lemon. A soccer ball is smooth, a football has some grip. A soccer ball is a lot bigger than a football.
A Gaelic Football ball is a leather ball, similar to the ball used in soccer.
Yes, because it is a propernou n.
Yes, if you are referring to a particular hall of fame, such as, "We visited the National Football League Hall of Fame." No, when referring to a generic or unspecified hall of fame, such as, "He is in the hall of fame," or "He is in the football hall of fame."
The quarterback throws the football in football
to play football.
No
A football and a golf ball are both faster than a book, even if kicked with the same force. Between a football and a golf ball the winner will be the golf ball, because the football has much more drag.
Yes a football is heaver than a soccer ball.