First of all I have a personnal axiom: never mess living things with physics. If you put a living chicken in a physics equation, you'll get peculiar results. If you put a cat, as Schroedinger did, you'll get also a peculiar result. Living entities are not good examples of physical phenomenas: a bird can build a nest, something that physical randomness would forbid. Man build cars: cars are not an example of the result of some strict physical process.
Likewise, a mug is not a good example, neither a broken mug, because a mug is the result of living human elaboration.
Also, a human being breathing is not a good example, because it is part of a vital process.
I am not sure that when you consider strict physical process like water evaporation, you will not find that it is perfectly reversible.
Secondly, in your sympathetic diagram, you have a curve and a counter-curve. The counter-curve is not very clear, but appears at the right beginning on the left side. You should have an explanation on why the curve goes one way, then for some reason gets flat, then turns the other way. What are the physics behind that?
Thirdly, if someone could go into the past, which I think is impossible, but even if he could, why would he be an exception not following the laws of physics? Of course he cannot be an exception. So if someone goes 10 years in the past, he will find himself 10 years younger. If he goes thirty years in the past, he will eventually transforms into a spermatozoid. In any case, he will never be able to kill his own grandfather.