It depends how it's broken...
Yes, the iPod Touch with the 2.0 software can be jailbroken.
No you cannot. If you have a warranty, apple will only trade in the same kind of iPod touch for your broken one.
It depends on the circumstances. Neither are supposed to be broken, but since the iPod Touch has more glass than the iPod Nano, it would have to be the iPod Touch.
I guess
Take it to the Apple Store for repair or replacement.
50dollors
Adding Themes is only available to Jail broken, iPod Touch, and iPhone users.
£60
my ipod touch broke or i lost it i dont know which one but how do i get music onto a new one
If you are sending in an iPod for repair, they probably will send back the same iPod. If you are applying for the warranty because of a manufacturer defect, it's likely that they will replace the broken iPod with a new one, but that really is a decision depending on the condition of the defect. I'm not completely sure if this is what you are asking, but that is my best answer.
You might not have a email account that's is required for the Ipod TOuch or it may just be broken.