Nikon coolpix 4600 camera does not turn on?

I loaned my nikon coolpix 4600 camera to my daughter to take on a trip. When she came
back the button to turn on the camera no longer works. Pressing it does not do anything.

she claims that she did not drop it or damage it. But who knows what really happened.

assuming that she did not damage the camera does anyone know what could be the problem?

there are 2 buttons on the back of the camera.
one with a triangle (the play button according to the manual)
and the delete button.

if i press these 2 buttons at the same time the camera turns on, but the lens does not extend.
then by pressing the play button again, by itself, the lens extends.

i tried taking the batteries out for a long time (about 20 minutes) and reinstall them.
but the problem persists.

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How to set up a home photo studio?

I am 14 and I really want to set up a photo studio in my house. I want studio quality pictures on a extremely low budget. I want to be a rockabilly/pinup model, so one of my friends will be taking pictures of me. I also will be taking pics of my 2 dogs that are models and impersonators. I am tired of having to book a session with the photographer and then waiting. I want to take their picture when I need them to model something new.
I have a Nikon Coolpix S202. My mom has a Canon PowerShot SX110 IS. My sister has a Canon EOS Digital Rebel XT. Which would be the best?
What do I do for backdrop? What fabric works the best? What size?
What do I do for lighting? I have a few clamp on worklights (not sure if that is what you call them). Would that work?
I am very new to photography so I don't know all the technical terms, so please don't use them in your answer. I want words that I can understand.
Any other info would be greatly appreciated:)

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