Unlock iPhone 4s, Screen completely broken?

Long story short, broke my iPhone 4s yesterday, Verizon sent me one and I got it today. I want to back up my old phone, so when I plug it into iTunes, it asks to enter the device password.
Please note that this is a new computer, and I no longer have access to my old iTunes which the device has information saved on it.(Factory restored)

Is there a possible way to Unlock the phone? I tried tapping where the 4 digit code would be, but nothing.

And to make sure you guys don't assume I stole this phone, here are some pictures of it:

Any help would highly be appreciated

IPhone 4 error message? The sync session failed to start?

The error says, "The iPhone 'Molly's iPhone' could not be synced because the sync session failed to start." I have an iPhone 4 and it has 4.2 GB of free space. I have a macbook pro and iTunes 10.7 (it's fully up to date). Please help I'm due for an update in 2 weeks, but want to put my new music on my phone.

I can't download iTunes 10.7 for my new iPhone 5

I've tried at least 30 times. I've tried from the iTunes version I already have and from online. It keeps saying "The installer encountered errors before iTunes could be configured. Error occurred during installation. Your system has not been modified." Which gives me no help in knowing what the problem is. I've tried changing my setting on my computer and iTunes, I tried restarting my computer, I even looked for help all over the internet but nothing is helping! And if I can't download iTunes 10.7 then I can't put any music on my iPhone 5.

Can i use iphone 5 with t mobile?

I've read they come unlocked and i can put a nano sim in it and transfer my plan to the nano sim and itll work. And i wanna buy the phone from apple. But all they show are sprint, verizon or at t. So how do i do that?

How to get non-purchased songs from my iPod to an iPhone?

When I switched from my iPod Nano to my iPod touch a while ago, I remember that when I I tried syncing my iTunes library onto my new iPod, it would only sync purchased songs. For a while now, I've just been buying CDs or borrowing friend's CDs to put music into my iTunes. I'm getting the iPhone in a week, and I want to get all of my music onto it, including all of my non-purchased songs. How can I do this and make sure I don't lose them? I don't have all the CDs anymore and I don't want to put them all onto new CDs and then put them back, because I have over 100. Please help! Please let me know if you personally have used anything and if it worked.

Does the Tabeo have the Netflix app?

My little sister loves to watch Netflix on my dad's iPhone, and she likes to play games on his iPad, too. But considering they are worth $800 all-together, we don't really want her running wild with them, so we were looking at getting her a Tabeo Tablet from Toys R Us. It's a tablet centered around the entertainment and education of small children through technology. All I need to know is if the Netflix app is downloadable or not. This is a make or break thing. 10 Points to anyone who can give me the answer and cite where you got the information so that I can confirm it.