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yes. the current update is 3.1.3 and to update to it you have to restore you iphone, update it then re-jailbreak it. but at this moment in time this is not an jailbreak for firmware 3.1.3.
Simple answer: Yes.Only update when the Jailbreak you use has a new version / then only update the Jailbreak, not the iPod/iPhone.
Yes, if you update it to iOS 5.1.1, there is an untethered jailbreak out.
yes
Upgrading an iPhone will update the firmware (the iOS) and will therefore remove the jailbreak. If you wish to stay jailbroken, it is highly recommended to not update until news of a new jailbreak arrives for the upgrade.
it gives you air play and makes it harder to jailbreak
If you update your iPhone/iPod, you will remove the jailbreak, then you would have to wait until the jailbreaking websites invent a jailbreak for the new ios, but why update if you jailbroke it?
No, only an iOS update will.
Not unless you jailbreak it then just google how to do it. very simple
Yes you can, but you will have to redo the jailbreak process. When you update your iPhone is it wiped clean and reinstalls the new OS from factory defaults. This is also why it is so important to backup your data prior and why iTunes does it automatically. Back up your iPhone before you update it. Then jailbreak it and then restore it with the previously backed up content.
No you cannot you need to update to 4.3.3
Updating the iPod Touch software erases the jailbreak. You can update, but it will erase your jailbreak.