It’s like a whimsy side of someone’s personality/character
The "inward eye" refers to the mind recalling an image. He's saying that while he lays on his couch he sees the daffodils in his mind; using his memory of what he had seen.
The American Dream- is a national ethos of the United States, the set of ideals (democracy, rights, liberty, opportunity and equality) in which freedom includes the opportunity for prosperity and success, as well as an upward social mobility for the family and children, achieved through hard work in a society
You have to take pictures of your spelling