watch me vs look at me

[Winwin2011]

[Three children are playing Head Stand.]

Sandy: Can you stand on your head, Billy? Look! Like this.
Tom: Let me try. That’s easy. I can do it.
Tom: Billy can’t stand on his head.
Billy: Of course, I can! Watch me! Now I’m upside-down.

Is it wrong to use “Look at me” instead of “Watch me” in bold?

Thanks.

 

[Route21]

As an NES but not a teacher, as for me, I would personally say:

"Watch me do it", but
"Look! See! I've done it!".

Hope this helps
R21