Locked Iphone won't sync to itunes at all?

I found my mom's old Iphone 4. Maybe the hardware/firmware is broken because she has dropped it quite a few times and this is my first time syncing it to my computer. But, I tried to figure out her passcode and eventually gave me a red alert screen saying "Iphone is Locked.connect to Itunes." But when I go to plug it into my computer, it says it can't detect the driver software. Is there a way to fix this? Is there a way to restore this thing without itunes?

IPhone 4 software update

So when you open up Settings, tap General and tap Software Update, it downloads the latest update. In order to install this update, do I need to plug my iPhone to iTunes or can the phone apple the update itself?

Added (1). *apply the update itself?

Am I able to downgrade my iPhone 5 from iOS 6.1 beta 2 to 6.0?

I have a 64GB White iPhone 5 and foolishly updated it to iOS 6.1 beta 2 and I'm scared I won't be able to jailbreak it when the official jailbreak is released. I have both a 6.0 SHSH blob and 6.0.1 SHSH blob saved. Cydia's servers have my 6.0 SHSH blob and I'm assuming that my SHSH blob for 6.0.1 has been saved through their servers also seeing as I have both files here. Would I be able to downgrade still if I have either of the SHSH files?

I'm addicted to online shopping?

I can't help myself, like yesterday i bought another hoodie and iphone case then today i bought plugs and another hello kitty purse! I can't help it. I'm always browsing on etsy or ebay and right now i want a new pink 3DS and i'm trying to not buy it but i don't know its so easy to just click the "buy through paypal" button and i don't want my dad to get mad at me. Any advise? O

Best way to charge an Iphone?

Would it make a difference if i charge my iphone 3gs on a laptop or direct source like a plug to the socket? I also want to know if there's a way o determine if your battery needs replacement like a software perhaps other than the most common symptoms like the phone acting a little weird.

Every hour my phone seems to deplete 1% and most of the features are turned off or mybe i should turn off the battery percentage?

Is there any LOD cables that work for the iPhone 5?

I have a pair of Audio Technica ATH m50's with a FiiO e11 amplifier. The FiiO L9 LOD cable I want to use for the lightning port on my iPhone 5 is made for the iPhone 4/4s 30 pin connector. Does anyone know of any LOD cables for the new Apple lighting port?

Transfer Music On Iphone To Itunes Library?

I have almost 800 songs on my itunes library, and around 1000 songs on my iphone. I don't know what songs are missing from my itunes library, and really don't want to manually do it. (I'm transferring iphone music to Ipod).

Is there any way to copy my iphone music to my itunes library?

Thanks!

PS. I have an Iphone 4

Added (1). If I need some type of software, please cite it and include download link if possible.