Being 100% idiot
This means to narrowly avoid something bad, such as an accident. The image is of you shaving your face and cutting very close to the skin - almost cutting yourself.
Inorder to facilitate the axial cutting.
In all likelihood, you could do your assignment yourself if you would try.
Cut By Plumb
cut yourself while shaving
no cutting yourself wont make you dizzy but it can cause internal bleeding
According to Wikipedia, Judaism does not allow shaving with sharp instruments against skin, but allows trimming with scissors and possibly dry-shaving machines, as they work on same principle as scissors rather than cutting hair against skin.
It means to make yourself look younger,
Yes
Orthodox Judaism forbids shaving and cutting hair at the sides of the head.
No, cutting yourself indicates a problem that needs to be resolved. You should seek help to resolve whatever those problems are.
No you can shave without shaving cream, but I don not recomend it. Shaving cream lubricates the skin so that the razor balde glides over it cutting the hair only. Without shaving cream you would experience a lot more razor nicks. You can use ordinary bar soap.