In British english, I know simple present tense allows do/does like,
I do follow the rules,
or
He does follow the rules.
My question is about whether all action verb follow this rule like:
I do eat rice;
I do go to school
etc.
Yes. That use is called "emphatic form"
According to the Cambridge Dictionary
We use do, does (present simple) or did (past simple) to give extra force to the main verb. We use the infinitive of the main verb without to, and stress do/does/did when speaking.
There are minor exceptions like other auxiliary verbs like be or have. You can find additional information about these exceptions here