I just now noticed in my battle.net account page, there is a page of Security/Recent login activity. Here it is displayed where logins have been made to my Battle.net website, Mobile app, Wow. I live in Sweden. In the logins it says various Swedish cities, where I do not live. Only one of the logins show the city where I actually live. The other cities are in completely different locations in Sweden. Is this normal? I haven’t noticed anything other strange about my account.
If the login times coincides with when you usually login to Battle.net then it could be a dynamic IP (constantly changing address) and there is nothing up as long as it’s within your country.
You could check your PC with an up to date AV and MBAM. After that you could switch your password temporarily and consider attaching a free 2FA mobile authenticator, if you haven’t added it yet which will greatly bolster your account security.
Thanks Saneko! I was hoping it might be something like that. It’s true that the activities I see could very well be my own. And I just now added an authenticator. 
Thanks for your help!