The title might refer to the manhunt for Booth after Lincoln's assassination but the miniseries covers a lot more than just that narrow scope.
It encompasses the aftermath of the Civil War from many angles: Jefferson Davis was still on the run, Confederates were planning their revenge, foreign countries were giving aid and comfort to fleeing rebels, former slaves were adjusting to their new status and the government was planning radical steps for reconstructing the south into a more equitable society, a goal pushed by Secretary of War Edwin Stanton but undermined by the new President, Andrew Johnson.
From that perspective, there are many parallels to modern times, which the writers sometimes call out a bit too clumsily. Sometimes the plotline, dialogue and acting is also clumsy. The big scope means the story is at risk of going off the rails. But in the end they tie it all together.
Standout performances from Tobias Menzies as Edwin Stanton; Anthony Boyle, believably creepy and hateful as John Wilkes Booth; and Hamish Linklater as Abraham Lincoln.
I would have liked the writers to pay more attention to scrubbing anachronisms from the dialogue. It happened over and over. It may be amusing to think that John Wilkes Booth knew about the theatrical superstition, "break a leg," when he really did break his leg on stage, but there's no evidence of that superstition existing till the 1920s and most likely it developed no earlier than the early 20th Century. There are many more examples like that, far too many.
Still, it's a competent and often well-acted production of historical events with modern relevance. Recommended.
Apple really should consider continuing the saga with a new story, covering Johnson's fraught one-term Presidency and the very different administration of his successor, Ulysses S. Grant, who was serious about Reconstruction and went to war with the KKK.