if you are taking a written test, it is crazy easy. but i would wait till after. no need for being exhausted and potentially messing it up.
you seem excited about becoming a police officer
that's good to be excited about your potential new job
keep it up
the surfing part is purely perosnal - do what you feel like
exercise may even improve your score - make you calmer
do you have any testing issues?
physical exam meaning a doctor draws some blood, takes your vitals and gives you a couple digits...OR physical as in, series of strength and agility tests? Either way I'd skip it. If your too tense, just knock one off in the shower before you leave, you'll be fine