Why does my iphone facebook app keeps logging me online?

I havn't been on facebook or read any messages on my phone for a day but my friends keep saying I kept coming online every so often, even at like 3 in the morning. Now it says last login was 43 mins ago my friend said but I havn't even used my phone. Why is this?

Circle in top right corner of iphone?

I saw this girls phone and there's a circle in the top right corner of her screen. Whenever she touches it, it opens up this square with a couple different options. How does she do that?

Brand New iPhone 5S Dieing Quickly?

I just recently exchanged my iPhone 5S for a brand new reason for the exact same battery issue. I've already disabled almost everything and my battery dies every 2-3% its pretty annoying. I only have about 8 apps on my 5S. Is there any fixes? What should i do? I've already reset restored and setup as new iphone.

How to unlock iphone 4s SIM with virgin mobile?

I want to unlock my iphone 4s sim virgin mobile USA. But not sure how to because apparently virgin mobile is CDMA. I don't want to spend over 500$ to buy a new iphone with a different carrier. But I need a new carrier badly, I do not get service at my job and I'm there every day for 10+ hours. Kind-of annoying. If anyone knows how to do this please let me know! I want to be able to switch to a SIM card from Straight Talk or Verizon.

Restoring Iphone 5 without Computer?

This has not been a good week for me. I got a iPhone 5 from my friend and i put a password on the phone but i forgot it. I tried to connect it to itunes but i don't know, neither does my friend who gave me the phone, his apple id and password. Then my iphone 5 charging cord broke so i don't have one anymore. Is there anyway i can restore my iphone without using a computer, or going to the apple store who gives me a hassle EVERY time?