Can fix my iPhone notification?

My english bad. I have iPhone 3gs and the iOS is 5.1.1 and jailbroken. My problem is the notifications. Example: (app: twitter) my friend mentioned me but there's no notification in my homescreen/lockscreen, the notification popout (app notification) when i open the app. That also happened to other app like LINE, Facebook. How to make the notification pop out when i'm in homescreen? I'm indonesian.

My iPhone 3GS is charging through wall plug but doesn't increase battery life?

It was knocked out of someone stepping through the cord while charging, now it doesn't charge anymore. Before that I had to recharge the phone every time. When I'm on text, or Internet it shuts down and reads 50% battery life or 12%. I recently deleted the games on my iPhone and transferred the games to my iPad2.To save battery life from draining. Now I'm at the point, where I have to replace the battery myself. Because Apple or AT&T won't help me with the cellphone. So I can use it for phone calls and texting. What's my next move of what I should do? Should I have the cellphone inspected for damage?

Added (1). Other actions I tried reseted the settings, managed notifications to important ones.

How to get Sharpie off my iPhone 5?

Hi, so recently I got the iPhone 5. My Mum wrote my name and home phone number on the back, and I'm so angry! It took me ages to save for it, so how do I get it off? If it helps, the Sharpie is pink.

How to reset your iphone if the power button is broken?

My iphone is messed up and I want to try resetting it, but the power button is completely broken. Do I have other options?

Added (1). I want to restart the phone itself. None of the settings.

Also, I can't let the phone die. I won't be able to turn it back on.

Why am I no longer able to use the app-switcher's background audio controls?

On my iPad and iPhone, whenever I would play YouTube music and try to multitask, I would double click the home key to access the app-switcher at the bottom of the screen, and then I would click the background audio play button so that I could use another app while keeping YouTube playing. For some reason, I'm no longer able to do that. Whenever I click the app-switcher play button, it doesn't do anything, so the YouTube music doesn't play while I'm on another app. Does anyone have any idea why this button stopped working?

Can I activate loss/or stolen iPhone 5?

I found a iPhone 5 in the street, I picked it up and I slides the slider over, it didn't require a passcode lock, I kinda looked in it but I just powered it off and left it in my car, it was on valentines day I was at my girlfriend's house just stepped out for a sec to get something from my car, than there it was on the ground, I didn't want to tell my girlfriend, shed be all wanting me to return it! I'm like f*** that, it's an iPhone 5 all I got right now is the iPhone 3G, not my fault the owners irresponsible! I turned it on today and it now requires a passcode and says " this phone has been lost, please call blah blah… So can I get it jailbroken it's with AT&T, ? And if I get it jailbroken can I activate it under a small carrier like h2o? That's the carrier I have now. Is there a way to bypass the password lock? Anybody know any tricks? Will it work with h2o?