Please share your store URL and password.
So that I will check and let you know the exact solution here.
Would you mind sharing your store's URL so we can provide the solution for that?
To remove the store's name from the page title you can follow this tutorial.
Regarding the other issue, please forward your website URL so we can better investigate the issue and provide a solution.
@mabo, to change your Store name from Chikids Fashion to Chikids Fashion - Festkläder för Barn Online, go to Settings -> General -> Store Name (change the name of your store here). This will automatically change the H1.
The other thing you can do is change your logo to incorporate the new title. So all you would need to do is change the logo in the Settings.