Definitely - for as much running as that involves, it's important to support your genitals.
It depends on personal preference. I wear one because it allows for a for free range of motion.
It's definitely a good idea to wear a jockstrap, for any sport with a lot of running like that, to keep your genitals in place and prevent testicular torsion.
You should wear a jockstrap with a cup for contact sports such as football, baseball, hockey, etc. But it's important to wear a jockstrap for support for anything involving running, jumping, or twisting - even without direct hits - track, basketball, soccer, etc.
men and women
Someone playing basketball would just need a regular jockstrap, with a pouch for support. There are youth sizes available for preteens.
you don't have to but you should
A jockstrap would help support your genitals, and keep them from bouncing or twisting.
If your playing soccer, hockey, basketball or baseball you have to.