Well, basically Milo did all those things so as to leave clues behind for Columbo to discover so that he could solve the mystery.
I mean, you can come up with these things for probably every episode. In "Murder By The Book", why did Ken Franklin open his mail? Why did he bring the dead body all the way back to his house when he could have dumped it anywhere between the cabin and the house? Why did Beth Chadwick, in "Lady In Waiting" go ahead with the murder when her brother didn't follow "exactly" the daydream she had about killing him?
Milo cut the section of tape he needed because he never thought anyone would ever notice it. Milo locks the locker because he is in a hurry. He has to get out of the gym and home to establish his alibi. He is thinking like a man in a hurry, not like a man alone in an empty building. He should have put himself in his victim's shoes.
oh yes...gene stafford was definitely left-handed fred..we see that in that early scene.
i have always wondered how they (writers, director..etc..)goofed like that. the whole theory about the tying of the shoes goes right out the window...because we know he is left-handed. and wouldn't milo have known that? and he could have defended himself. (ok..i'm being picky-picky)
and joe! great comment about being in the victim's shoes!