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No problem, I've removed the claim from Hutter, M in the database. The link is gone now and should not re-appear.
BTW, I noticed what seems to be a typo in the entry for:
Huttery instead of Hutter.
Yes, this is a short-coming of Mendeley -- which we really don't recommend. They don't have a type for Master's Thesis and PhD Thesis (like bibtex has). They only have the type "thesis". So there is no safe way to map it either Master's or PhD thesis. I recommend changing the type of this library item in your Mendeley library to "generic" and adding "Master's Thesis" to one of the other fields until the result looks as you want it. Better yet, if that's an option for you, I'd recommend switching to a self-hosted bibtex file (or hosted on github pages).
There is nothing we can do from the BibBase side on this. This is a restriction from Wordpress. Same web hosts, incl. also Google Sites, just don't allow embedding script tags. The only embedding option with those is usually iframes (if those are allowed), but that's not a good option.
We always recommend hosting your own page yourself (if necessary via Github pages, you can just fork our example), using a bibtex file as source (although Zotero is a decent option, too), and embed using the script tag. This combination give you the most control.
Such mapping is not supported, because we cannot assume that others who use numbers instead of text would want it to be translated. So why not just change the bibtex to use the abbreviated month names?
I think that that might just not work for groups yet, see https://bibbase.userecho.com/communities/1/topics/23-only-small-part-of-zotero-group-library-is-displayed#comment-92. The best workaround for now is to use a shared account and use the "My Library" collection from that account instead of a group. Would that work in your case?
I see lots of conference papers:

What is missing?
I can't debug this if I cannot see what you see. The connector gives you a URL and I assume that URL is where you saw something missing. Can you share that URL?
Can you provide a link to your page where you use BibBase?
Sorry, no that is not currently possible. We *strongly* recommend against using iframes. The external script method should work everywhere because that is how almost all web pages work these days: they pull in scripts from other places, not just the local server where the HTML is hosted.
Сервис поддержки клиентов работает на платформе UserEcho
We've read the criteria to become white listed on Wordpress core (which is what I assume you are using to host) and I doubt that they will accept us, given how short the list of whitelisted providers is. Or are you using a self-hosted Wordpress instance?