Does it come out of your Internet when your on Facebook on an iPhone?

Basically last month I got an iPhone 4S with orange on contract. Earlier when we looked at the bill it was over £130 when it's supposed to be £88 for all three of the phones we have on contract with orange. On an iPhone you can't log out of Facebook or twitter unless you go into the settings and I was wondering if even if your logged in but not using the app does it still take it out of your Internet usage just for being logged in? I have unlimited Internet usage but once I use all of that up it starts putting an extra charge onto the bill at the end of the month.
So I was just wondering wether If I'm not in the house and connected to the Internet I need to log out to stop it from charging me.

Why is my game staying the same as before?

I installed HayDay on my iPhone and its fun but I've made mistakes and I want to restart. I deleted the game and removed it from the Game Center, but every time I try to re-install, it pops up where I left off, on the same level and with all the same things. How can I restart?

Is there a reason this looks this way?

So last night I went to a concert and recorded one of the bands on my iPhone 4, it looked really good and sounded great. But then when I uploaded it to Facebook it looked kinda glitchy and not as good as it looked on my phone. So I know I sound pretty stupid but is there like a button I should have had on or something? Or is it normal that it came out funny when it was uploaded to Facebook?

Order and chaos from iphone to android log in?

I bought order and chaos about a year ago on my iPhone then I downloaded it onto my iPod. Now I have an android (galaxy s4) and when I go to log in, my characters aren't there. I realized you can't play cross platform so does that also mean that if I play on my android I can't get into my account from my iPod?

Why does my iPhone 5 battery die so fast?

Yesterday I left my phone to charge over the night and today about 8:20am I skyped my dad! I was talking to him on Skype for about 1:10 hours and then i didn't use it at all! Now my phone at 12:10pm is 50%. Why is it dieng so fast! Pissed as f*ck

How to post videos on Instagram?

Actually, my REAL question was too long to put as a title so…
What I meant was:

What kind of PHONE do you have to own to be able to record a video for Instagram? All I know is that androids don't work, but iPhones do.

What other phones are able to record videos to post on Instagram?

Added (1). Jeannie: Yes, Instagram added the video option kind of recently.

Luis: Well, MY android phone won't record. Do you know which ones that do?

Added (2). Ivirson: My Samsung Transform Ultra doesn't have that option… What kind of phone do you have?

Should i use a case on my iPhone?

Well it's a iphone 4 and i had it since December and dropped it like 5 times no major damage and I hate cases specially they add a lot of lint do I need one