The significance of the Battle of Bunker Hill was that it showed the determination of the outnumbered American forces. Although the colonial forces were defeated their ability to inflict damages and heavy losses on the British was an important factor in increasing the support for the colonists military efforts.
The proclamation of 1763 came out of the Treaty of Paris after the Seven Years War, so the British could incorporate lands ceded by the French as a result of their loss. The stationery soldiers were to establish a boundary between the new lands and the lands of the Native American, and to protect the colonizers forms their attacks.
The colonizers were unhappy because they lost the chance to get lands for their own, and because they couldn't commerce freely with the Native. Britain could have left the colonizers to adventure in strange lands and be massacred by the Native Americans, but couldn't afford to lose power over this new lands, over the colonizers and the Native.
Generally speaking, a "mixed" economic system can be characterized by some government involvement and private ownership of most business, since some government regulation ensures the protection of the consumers.
