Modal verbs in English include can, could, had better, may, might, must, ought to, shall, should, and will. They are used to express ideas like ability, permission, possibility, suggestion, obligation, and future time. The normal position for a modal verb in an affirmative sentence is after the subject. Examples are given such as "He may start the game" and "You can call me 'guys'." The video lesson provides more understanding about modal verbs and their forms and meanings. Polite requests with modal verbs and "would you mind" are also discussed.