These aren't coping mechanisms that it's trying to describe, it's a cartoon version of a checklist for those with poor interoception. Basically, it's saying if you're feeling the feelings in column A and you don't know why, it's likely you've forgotten to fill a bodily need in Column B: Fatigue makes you more sensitive to criticism, Hunger raises your aggression, a failure to do Self-Care can lead to lessened feelings of self-worth.

I think it's more referring to feeling "hangry", not necessarily the general hatred of other people. It could be more specific to avoid confusion but it also is just a cute raccoon webcomic and usually there's some nuance lost in webcomics.

I don't really think that's what this is saying but maybe I'm biased. For me, between depression and ADHD eating is something that's easy to forget to do and certain emotions definitely become stronger when you fail to eat.