Is earth began to spin a little bit faster 1. summers would be colder 2. days would get shorter 3. tides would be higher

If Earth began to spin faster, then the days would be shorter. That is ... less than 24 hours. Depending on how fast the spin is, the days would be 22 hours or 20 hours or 16 hours Etc. Whatever the total time became, half of it would be daylight and the other half would be Darkness.

If there was no gravity then their would be no downword force on the football to have it return the the grownd, and if there was no friction (mainly air friction) then there would be no opposing force the stop the ball from moving through the air allowing the ball to travle ∞.