Hi Juan,
"Research" isn't generally countable, so you don't do or make "a research" at all. You can simply say "Please research Valentine's Day" or you can say "Please do some research on Valentine's Day."
Also, in my experience, you do research on something, not about, but that is something that may have regional variation.
In the U.S., we open our books to a page. There have been long threads in the forum already about this. Apparently in the UK, you can open your book at a page. But not on.
(You can look on page 42, or see that there is a picture of a green lizard on page 42, but not "Please open your book on page 42.")