Errors are pretty self explanatory. There is no A record in your DNS for handelsmarketing.se -- there is an A record for www.handelsmarketing.se, though.
For the dns-01 challenge, the same, but for a txt record.
Do you know how to edit dns records for your domain?
I recognize this. And I think they’re missing. However, I’m not quite sure how to add these. As I understood, I have to add them to DNS as a type “NS”, although, I cannot choose NS when adding to my DNS.
those are your current published ones. they’re there already. I asked because sometimes happens that people edit records on one provider but their domain’s nameservers point to another provider.
you might want to ask them why are they so slow in publishing your dns records.
Shouldn't cPanel handle all this kind of certificate stuff for you? Or are these the outputs of your cPanel? I'm not really sure what you're doing before you're getting the error messages. That would be helpful to understand what you're doing and how we might be able to steer you in the correct way.