Is it right and grammatical that "He reads a book"?

I'd say he's reading a book

Would you explain me about why it is wrong logically and grammatically?

one more thing...
Could you correct my sentences I wrote here to ask because I'd like to have better composition English?

Well you wrote "he reads a book" which mean that it's an habit.. Maybe you should have wrote "every day" to emphasize the habit.
he's reading a book is more about the moment you're speaking. It all depends on the sense you want your sentence to have. And your question is correct.

Glad to get your advise.
Thank you for your clear answer, Emithbomber96..

So What does it mean Emithbomber?
I hope to see you again,buddy~

I appreciate your clear eg.

ljswave: So What does it mean Emithbomber?

When when I was probably 10 years old I chose that nickname and since that day I've never changed it.

Oh my Goodness.
What't your name?

Emiliano. You?