I have that problem before few months so I'm found an easy way how to run few skype accounts on the same time on 1 computer.
Go to start and in search bar type "run"
Then open your program files and search for skype.exe
Open run and type your path of skype:
"C:\Program Files (x86)\Skype\Phone\Skype.exe" /secondary
Done! Now you have 2 skype opened at the same time!
You can open how you want times and have more skype accounts open at the same time.
Hope that I could help you,
playboya231