Yes
Yes.
The first US draft was during the US Civil War (1861-1865); the last US draft was during the Vietnam War (1961-1975).
The Vietnam War was a major problem and the continued draft.
US Citizens facing the military draft.
Probably 1973, Nixon requested and received an extension from congress, as the draft was expiring in about 1971. The request was justified on account of US troops still in Vietnam.
Men resisted the draft!
Canada sent no men to Vietnam. Other than individual Canadians which crossed into the US and enlisted into the US Army/Marines. Several Canadians were killed in Vietnam while serving with the US Army/Marines. If any man receives a draft notice from his nation, and he ignores that notice; he's a draft dodger.
The US Civil War (1861-1865) was the US's first military draft; the Vietnam War (1961-1975) was the US's last military draft. Both the Civil War & Vietnam War had draft dodgers and draft riots. Both the Civil War and Vietnam War were un-declared wars; in both wars, the South lost the war; during both wars the US President was assassinated; during both wars a Vice President Johnson took over office.
All three nations conscripted their men. All able bodied men were eligible for the draft.
The draft. Without that, opposition to the Vietnam War would've been nil.
President Carter did not support the amnesty for men who left the US to avoid the draft during the Vietnam War due to his will to win the war and defeat Vietnam.