Right now, trying to import a character fails. Is there any way to make it work? It seems like they have changed their api. 

Oh no, really? I'll check tonight. Did you make sure to make the character public first?

Yes, I tried a few things, but it seems like /json is no longer a thing. 

It seems like spells are not imported correctly. I only see one cantrip, where there should be plenty of spells.

Here are screenshots. 

DnD Beyond

DMHelper

Spell slots do seem correctly imported though.

Also DDB characters seem to lose their refresh button upon restarting the application. 

Sorry for the delay, I missed the notification of your post! I've made a lot of updates around the importer recently, I'll check if this has gotten better.

Also, Ctrl-B and Ctrl-I do not seem to work in the character editor, but they do in the notes entry. The DDB import uses bold, so it would be nice to recreate that. 

Also when creating an NPC, the character name entered is not used, the name is left blank. 

Just implemented the first formatting, look for a release very soon. I think I fixed the naming of NPCs earlier in this version's development - can't reproduce it at any rate...