1999 Chevy blazer fuse box diagram

SOURCE: fuse under the hood keeps shorting out

i think i have the site here where you can get the diagram.

http://www.bigcee.com/faq/KLR650-color-wiring-diagram.jpg

SOURCE: 2002 CHEVY TRAILBLAZER LICENSE PLATE LIGHTS(2)

there is none, will have to replace lights, should came on with running or parking lights.

SOURCE: license's plate light stopped working even with new bulb.

It wouldn't be a fuse if that's the only light that's not working, I believe all of the parking lights are on the same fuse. It's most likely a bad ground or corrosion inside the socket where the bulb makes the electrical connection. So check the socket to make sure it has no corrosion, if it does, clean it up and apply some dielectric grease (available at any parts store) to prevent future corrosion, and check for a loose or broken ground wire.

SOURCE: License plate lights do not work.

The licence plate lights are in the same line as your tail light wiring assembly. I assume your tail lights are working or you would have got a ticket for that. The wire is either cut, broken or unhooked from the tail light wires (which usually are brown). If you can not find the problem, you can always run a new wire to the tail light wire from your licence plate wire. Then they should work.
Your other problem is that the license plate ground is rusty & not grounding, which would also not let them work, so you should probably check that first. Rick

SOURCE: diagram for under hood fuse box

YOUR FUSE BOX UNDER THE HOOD IS LOCATED BESIDE THE BATTERY RIGHT SIDE THAT IS AWAY FROM THEWINDSHEILD, ITS A BLACK BOX RECTANGLE SHAPE IT HAS A COVER OVER IT SNAP THE COVER OFF AND YOU WILL SEE THE FUSES