The colonies officially broke away from England when they declared independence via The Declaration of Independence of 1776.
What is your textbook called so I can look it up and help you with the answer.
I’ll give you two:
Yes: The “War” on the Indians was not a traditional war of declaration but of skirmishes. When wagon trains of people headed West Indians would commonly target them for raids and pillage, so along many routes forts where built and patrols would try and make sure they were safe. If the problem became worse the local garrison would find the tribe and come with a list of demands. Most of the time they were fired upon arrival out of fear or anger. This would lead to a small battle or skirmish which would likely cause collateral damage.
No: The wars raged in the west against the Indians were that of near genocide, and to call it anything but is misleading. To claim that the slaughter of hundreds of innocent people was a “battle” is absurd and shouldn’t be considered. Though in films that depict such events are dramatized and inaccurate, situations much like those were taking place around the west yearly.
At the Battle of Bunker Hill, the colonists used the physical geography of the area to their advantage by firing on the British from a relatively safe position on the "high ground" of the battlefield.