Those are pretty good ASVAB scores, so you should be a pretty smart guy. Only do Air Force or Navy. If you do not listen to me, you will regret it lol. Them Army dudes were always salty because us AF dudes are chillin while they have to do PT every morning and can get their rank pulled off on the spot for some simple shyt.
Only commit to the bare minimum amount of years they offer (usually 4, but they used to do 2 year commitments like 6-7 years ago when I enlisted). If you like it, then reenlist. But its the better idea to do 4 years so you can be eligible to change bases (or jobs) sooner.
If you really want to be a cop, then by all means... However, I would highly suggest looking in to something that would translate into experience in a good field when you get out. What do you want to be? What jobs interest you in the civilian/corporate world?
Also, if you want to travel, the Navy is always on the move. They stay going to exotic locations. And they have the best bases. Buuuut you're going to spend a lot of time out at sea.