After the decisive defeat of the French in the Seven Years' War so that the French were no longer a threat, the divergent interests of America and Britain virtually ensured that there would be an American rebellion. It need not have been successful but it was certain to occur.
Not necessarily. If the British didn't pass the Stamp act or the Intolerable acts and gave the colonists representation in the British parliament, the war might have been avoided.
If Parliament doesn't assert itself via legislation such as the Stamp Act and the Intolerable Acts, it would effectively be conceding independence, which was hardly what Britain had fought for in the Seven Years' War. The minuscule representation that the colonies would have gained in Parliament would be effectively as meaningful as that of the SNP and the PC today.
While different measures by the British might have ameliorated the differences so the eventual rebellion would be similar in scope and success to the Rebellions of 1837 that took place in the Canadas, there would most definitely be a rebellion in the American colonies.