快 vs 快点, what's the point of "点" in this case?
点 (or 点儿 in Northern-speak) is short for 一点 (一点儿) / "one bit", so 快(一)点(儿) means "quick by a bit" = a bit more quickly (than the speed at the point of speaking).

I love the pun in your "What's the point of 点..."; one of the definitions of 点 is "point / dot" (as in decimal point; 5.3 = 五点三).