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@Andreas this is the standard WordPress Twenty Nineteen template, with an SEO plugin enabled - there's a menu at the top, but don't know if there's something weird appearing for you. I've done little optimisation for the name, as it's basically the 'brand name' of the site. Wouldn't every website typically mention that on every page? Thanks for your help.

Hey there James, Sam from Moz's Help Team here! Sorry about the trouble there - so, the thing to keep in mind here is that we do take 301 redirects into account in terms of our index updates, but for us to update any 301 link, we would need to re-discover the old pages to be able to follow and update the metrics. This is not likely common for sites with lower authority since old links are not continuously shared on new pages/articles/blogs. Link Explorer works solely through link discovery and crawling. For every link we index/crawl, these links are not guaranteed to be re-crawled.  In order for our crawler to update metrics to reflect the new domain, it would need to recrawl the pages linking to your site and discover the links which redirect. The discrepancies between the DA or PA of your old domain and new domain are probably due to the previously externally discovered links that haven't moved over just or haven’t been discovered. I hope this helps to explain - definitely let me know if you have any follow up questions!