Jailbroke Iphone 5 stuck on activation screen?

I donwloaded a cydia app and the phone shut off and ran the ios 6.1 activation screen, you know the one after updating to ios 6.1 update or near same as when you first activate the iphone 5.IM running jailbreak on ios 6.1 on the Iphone 5 and when i try to get through the activation screen its a spinning loading icon that says its running and after ten minutes it fails and tell me to connect to itunes. I can't connect to itunes it won't work maybe cause i'm jailbroken.

How to fix an iPhone lock button at the top?

My lock button at the top of my iPhone has all of sudden become sticky and hard to use for some reason. Every time I press it, I have to forcefully perform the action to lock my phone. Are there any ways to fix it?

My iPhone 4 won't stop rebooting?

I have a jailbroken iPhone 4 using 6.1 it is a untethered jailbreak and i was downloading siri from cydia and my iPhone was slow so i held the power and home button to restart it and now it is staying at the apple logo I waited 2 days and so far it is the same how do I fix it? I also don't wanna restore but I will if I have too

How long is the iphone 5 battery and is it worth it?

I'm getting a new smartphone and i think the iphone 5 is a pretty good phone, but all i care about is the battery and people say that the battery in iphones are not good but the galaxy or android phones last longer. I have also heard that there are issues about the battery in the iphone 5.Is getting the iphone 5 for the battery worth it, and how long does it last? What are your best phone suggestions based on battery?