Unfortunately you can't see all the little choices, but in version 0.5 ''Choice hints'' function has been added, It is located in the settings.
This function shows you which path a certain answer leads to, and you can also see which path the characters are on when you look over the character progress bar (the character icon).
There will be an example below.
About cheat menu, yes if you have unlocked it on one save and create a new one, the cheat menu will work there too.