How to show that I'm online on skype all the time? - 1

I have an iphone 4 with ios 7.0.4

Leave the app open.

I have bumped into a very annoying bug lately. It started 2 weeks ago. I'm using Skype 6.9.59.106 on Windows 7 and Skype Mobile 4.4.0.31835 on Android 4.0.3. My contacts started telling me that I'm logged in all the time, so I made a second account to check the problem out and it's true unfortunately. So to avoid any mistakes, I have logged out of my primary skype account on all 3 of my devices, turned off the wireless/3G on my phone, changed the password on this primary account just in case it would be online somewhere else or hacked. After all this was done, I have checked on this new account I've just created if my primary account still shows as online and it DOES?! Please help me what this problem and SOLUTION could be. It is very annoying and I don't know what could be wrong. After all this I kept testing, logged back on my phone into skype, then restarted the phone (so skype was not logged in). Of course I see on my tester account that my primary account still shows as online?! And if I wright to my primary account my phone receives it, even though my skype app is not even running, so there's probably an other bug with this version of the Skype Mobile, that it's always running in the background. I really hope there's a simple solution to all this.