Put simply, no.
Yes
there in the app store
of course you can, the new ipod touch is just smaller, otherwise there is no difference
doodle jump
because there are a lot more ipod touch apps than the regular ipod games and apple doesnt make all the apps but they have to put more effort into the ipod games than the ipod touch/iphone apps.
Yes
You can only get ipod games on an ipod nano or ipod classic. You can get apps on an ipod touch
No, you cannot. The iPod Touch games can only be played on an iPod Touch.
On itunes you go to the app store and buy games. Then you connect your ipod to your computer and it'll automatically put them on the ipod. To download games directly to your ipod touch, if you have internet go to the app store and you can purchase games there
Yes, you can put music on a jailbroken iPod Touch.
yer but it needs to be jailbroken. download the cracked app. double click on it. itunes will open the sync your ipod touch