Should I be that worried about a dead pixel on my camera screen?

My Nikon D3000 has visable pixel that pop out that match the photo but you can tell they shouldn't be there. And it only shows up on something dark, like black, doesn't show up when I take a photo outside.

And it doesn't show up on the computer, I see little pixels etc but thats probably just noise, can't notice it unless your like an inch from the screen and I printed off an 8x10 and that was fine.

I'm just worried that those dead pixels on the screen can eventually end up on my photos.

I'll be taking alot of photos next week of my friends and some of their kids etc outside, so should I be worried about the pixels being on the photos?

The week after next week I will be sending it in to get fixed or should I not even do that?

Can dead photos eventually get on the photos?

Nope.

If the "dead" or even "hot" pixel is just on the LCD, there's NO reason to be concerned. If you are a confident and disciplined shooter, you will rarely even look at the LCD.

If its on the screen only its fine.

Check your images at actual pixel size to check.

LCD screens can sometimes have dead pixels massaged back to life, but it's a minor inconvenience.