Answer to: Can I transfer songs from my iPod Nano to an iPod Touch?Of course. You can do it via iTunes, but this might be a bit troublesome. Or you can use a tool which i personally think is alright. iPhone manager. One thing about it is that it needs to be paid... though it can really help on managing files on iOS devices or between them. Check this out to see if it's ok for u. Transfer Music from iTunes to iPhone
Answer to: Why can't I delete apps on my jailbroken iPhone 4 using 5.1?I had the similar problems too. Someone introduced me an iPhone manage tool called iPhone Manager(need to pay for it). i did somehow buy it. Works pretty fine on managing kinds of iPhone files on computer without iTunes. Like to transfer files from iPhone to computer or from computer to iPhone.
Answer to: How do I delete Photos from the Photo Stream Album?Maybe you can try out a third party iPhone manager. Though i don't exactly know if it would help. There is a free trial version, you can have a try first. And here is a website you can refer to: iPhone Manager homepage