Can I break away AND use RS or Charge at the same time?

if you pass the break away, yes..

If the roll for break away is successful, then you can use Charge or Running Shot.

...also, you have to announce you'll be using RunShot or Charge before the roll - in other words, you have to decide before the breakaway attempt whether you'll have your full speed or half-speed(& attack) available if you succeed.

Thanks, my friend and I were unsure if you could RS/charge and Break away in the same action.

If you ever begin an action adjacent to an opposing figure and want to move...you must roll a breakaway. (Unless you have a power or ability that allows you to not have to roll breakaway rolls.) Breakaway is something that goes along with that movement attempt.