How to backup my iPhone 4 in recovery mode?

So my iPhone 4 went black a few days ago. Assuming it was broken, I went and purchased a Samsung Galaxy s3. Then I realized that my iPhone was working again. So I was trying to find a way to put all of my contacts from the iPhone to my computer and download them to the Samsung Galaxy s3, but I ended up putting my iPhone in recovery mode because it told me i had an update. So now, I'm trying to backup my contacts on itunes WITHOUT restoring it! Because i just don't want to lose my contacts. But my daughter has all of her iPod things backed up on iTunes. Is there a way I can backup the iPhone even though it is in Recovery mode? I DON't want to restore it. I want to save my stuff, then restore once i have everything.

IPhone rings but no new message?

My iPhone rings at 7:30 every morning as if I received a text message. Nothing else in my settings has that same ringer. There are no alarms set at that time or reminders, so I have no idea what it could be. What could be the cause of this?

Added (1). @Chantal Those all have a different ringer. So it shouldn't be anything but my text messages that have that ringer.

I get the iphone could not be restored.an unknown error occurred (3014)?

My Iphone 4 gets this message when I try to update it through Itunes… "the iphone could not be restored. An unknown error occurred (3014)". I have the latest version of Itunes, and my IOS version is 4.2.1 (trying to update it to 6.0.1). I've tried all the help options the apple website gives. Like plugging it directly into the back on my computer, disabling my antivirus, disabling my firewall.
Its downloaded the update and everything, and it goes through extracting and verfiy and then the error seems to appear. I can't restore my iphone through itunes as it asks to be updated before I restore >.<

So please help: L really frustrating me

Added (1). Its not jail broken

Should I buy iphone 4 or ipod 5?

Okay… So my birthday just passed and I collected up 300 bucks.
My friend has an iphone 4 ios 6.0.1 not jailbroken and 32 gigs for 300
I just say the new ipod touch 5 and it looks awesome… And its 32 gigs for 300
So which one should I buy… Thanks!