Yes.
If they are apps downloaded from cydia, then no, because cydia apps don't sync with iTunes.
No you can download apps without jailbreak, but you will be able to download apps that have been disapproved by apple if you have jailbreak.
yes but it makes you device lag
Yes, but downloaded apps from Installous will not sync with iTunes.
You do not Jailbreak iTunes; you jailbreak iPods and iPhones.
if u want to download apps from places other than itunes then u will first have to jailbreak your ipod, install cydia, then through cydia get installous, which lets you download cracked apps straight to ur ipod, or you could torrent the apps but either way you would have to jailbreak your ipod which will void the warrenty
Yes, you still can
to do that you need to jailbreak your iPod... and i wont recommend that as that will expose your device to viruses and stuff
well i used spirit and it did im gona try snowbreeze however jailbreaking doesnt delete apps u already had
No, most jailbreak tools are free, however most good apps even on jailbreak app sites cost money. You can't use iTunes gift cards on these, but you can on the app store.
Not if your careful with the jailbreak apps that you download. Some of the apps from Cydia can harm your iPod touch and possibly block your iTunes account.
Yes, it doesn't matter what iTunes software you have, you can still download apps from it to download to the iPod Touch.