"I know that every and each always are used with singular noun and verb forms"

If you know that, then you already know the answer.

You can't say "each people" or "every people" for the same reason that you can't say "every children" or "each things". "People" is the plural form of "person", and it's treated just like any other plural form.

You have to say "each/every person has".

Each person not each people.

or you can say everyone has ... instead of each person.

Thank you very much, Jmat. Sometimes English is too tricky. I am happy to get your answer and make this issue clear for me.

Thank you very much, dear friends, however, I am still in doubts.

Can anyone from teachers give me the reasonable explanation?

Or you can say, "all people have."