Did cold weather damage my iPhone battery?

I know that a battery won't hold its charge as well when used in the cold, but does it cause permanent damage?

I go on long walks in all seasons. Several times this winter, my iPhone has shut itself off because it got too cold while I was outside.

I feel as though ever since that started to happen, my battery life has diminished even when using it indoors.

It's an iPhone 4S. I got it at Christmas of 2011.
So is the cold ruining my battery?
And if I never let it get cold again, will the battery continue to diminish in strength?

How to block someone's number from calling you?

I'm with AT&T and have an iPhone 5. This guy that I don't know will not stop calling me and texting me about something I know nothing about I keep telling him he has the wrong number but he won't stop calling and texting. Is there anyway I can block this guys number?

Why won't my iPhone 4 connect to Wi-Fi?

I'm leaving for Italy on Thursday, and we will have free Wi-Fi at some of our hotels. I'd like to use my phone to email, but it won't connect to Wi-Fi at all. When I go to settings, Wi-Fi, it says my Wi-Fi is off but the box is like gray so even if i press it, it won't move. Any suggestions?

Mail app on iPhone removing emails?

On my iPhone I use the mail app. But although my emails come onto it fine, they go within about 5 days. So it only shows my emails from like the past five days. The emails aren't deleted because if I open my account via safari they're all there. Is there a setting to change this? Because on my brothers iPad he's got emails from months ago but I can't see any difference in the settings. Any suggestions?

Added (1). It's already set to show 1000 messages. Each time I open mail it checks for mail and the oldest email on there will go

How to rotate videos that I down loaded from my Iphone?

I shot some video from my Iphone 4 and was holding the Iphone up and down as I did, not laid down, but when I down loaded it to my computer Is needs to rotate 1/4 turn clockwise. What program is best to turn the videos or pictures?

If I use my own home Wi-Fi on my iPhone will that use up my data?

Ok so I got an iPhone and I only have 300 mb on it. I'm using my own Wi-Fi at home and it says that I already used 3.94 of my data. I thought that if you use your own Wi-Fi, data won't be charged. And I put my cellular data off. So is there a way to use your own Wi-Fi and not get charged?

How long should 100mb of internet last?

Okay so i got an iphone 4s today on pay as you go and my tarrif comes with 100mb of data, i use the internet, facebook, instagram apps a lot so how long will 100mb last me?

IPhone 5 stuck on searching?

Please help! Randomly last night my phone said searching out of no where in my own house. And I thought it was just a network thing, so i gave it a night and saw that it still said searching this morning. What do i do to fix this?

Added (1). I have restarted it about 3 times… Has not helped