"Lightly jumped out of the fence", "looking back", "backward step", respectively, refers to the fence, flashbacks, and Caesar's code. According to the hint "a broken dream", it suggests to move back one step, so I move this group of letters back one place according to the order of the alphabet, and get:
iihdhnsuciok,
Then I will try to solve the flashback cipher, and flashback the whole chain of ciphers, and get:
koicusnhdhii,
The last one is barcode, which divides 12 letters into 3 columns, and the other three are barcode, which divides 12 letters into 3 columns.
Kudoshinichi,
This is how to write "Kudo Shinichi".
I hope this helps!