if you are behaving this way on at least 75 days out of 150 in a way that impacts and impedes your ability to function, having a romantic or friendship-based relationship and work a job - yes, you might have a mental illness.

I do get easily annoyed by some people

Right, by some people. Now, if this were a real situation in a clinic and not a persecution fantasy, chances are the therapist would inquire how and why those people cause annoyance exactly. Basically: is your reaction reasonable (annoyed by someone causing you actual harm, non-trivial discomfort, etc.) or unreasonable (annoyed by trivial things such as someone's clothes, skin colour if you're a racist, etc.)?

I get angry and resentful when I think about the current state of politics.

Do you take out that anger and resentment upon other people, in ways which are harmful to them? Is your daily life hampered by those emotions? If not, it probably doesn't count as a symptom.

And I do get spiteful when authority figures ask me to do something ridiculous (malicious compliance, basically)

It is not abnormal to react negatively to ridiculous tasks.

I don't believe that psychologists would count these things as actual symptoms. Probably you're fine and healthy.