Computer will not sync video to iPhone?

I converted lost season 2 the first 3 episodes from avi to mp4 and dragged them into iTunes. I connected my iPhone and it showed up and everything. I clicked on it and check the 3 videos I want to sync. I press apply and it syncs and everything but then when it's over it didn't show up on the iPhone. Did I do anything wrong?

ITunes say's my iPhone is in recovery mode when it isn't?

I have an iPhone 4 jailbroken on 6.1 and all of a sudden when I plug my phone in to my computer it says my phone is in recovery mode, even though it clearly isn't. It says the same error when I boot in safemode so I doubt it's the jailbreak that causes it, so does anyone know if there's anything that can fix this?

It's not really the end of the world if there's no fix for it anyway.

If i back up my iphone what will hapen with my paid app?

I have an iphone 5 and i'm storing all the things on icloud i'm backing it up.i've bought some paid app but from another account now i've created a new one and i'm using it and backing up all the things (including the paid appa) on the new account. If i have to delete everything and later back it up will i have again my paid apps?

My iphone 4s email stopped working?

My iphone email was working ever since I got it in august but suddenly it stopeed receiving emails, whenever I go to chick it just does the checking for mail and constant searching but never loads new messages though when I go on my computer there are plenty of new messages. Any ideas how to fix this problem? I have shut the phone off in hopes to reset the email but its still not working. I desperately need access to my email on the go, any ideas please help.

App Recommendation- Personal Finance?

I have been looking everywhere for the best app to manage my personal finances and was hoping someone could give me some suggestions.

I want something that has a website where I can manually enter transactions and maintain budgets. Something that is pretty simple. I'm also looking for something with an accompanying iPhone app.

Suggestions are much appreciated!

Added (1). That was one of the reasons I don't like Mint.com. I do not have a bank where I can sync my info!

Bottom part of my iphone screen doesn't respond?

I was using my iphone then all of a sudden the bottom part of the screen stop working. I can't text or nothing but the top part of the screen works. I restored it but it didn't work. Do you think I should reset it? Please tell me what to do. I really don't want to get another one.

How to downgrade my iphone 4s from IOS 6.1.2 to a previous version? - 1

Hi I'm currently having an issue with my Iphones Wi-Fi and it appears to be a software issue. I want to upgrade the firmware, but there isn't any jailbreak available for the latest firmware. So my only option is to downgrade it but I don't know how. If someone can help that would be great.

Does the unlocked iPhone 5 come with a number?

So I have an iPhone 5 with Verizon and I want to buy my nephew (12Yrs.) one for his upcoming birthday, now I want to get him an unlocked iPhone 5 because I'm no sure what his parents will say about it because of the monthly bill on Verizon.
Does the unlocked Phone 5 come with a phone number or something that can be contacted with? Otherwise I feel like the phone would be useless if he can't have a number with GSM card.