Thanks for the positive feedback, @Holapaco77.
I filled several Phabricator tickets for the issues you mentioned about the infobox issues, text selection, and date adaptation on templates. Feel free to check these tickets for tracking their progress or adding details.
Regarding Wikidata updates, in some cases it takes some time until the interlanguage links are visible, but we'll investigate this particular case.
Thanks for using version 2 and providing useful feedback. Feel free to keep using the new version fo the tool to translate more articles. We plan to deliver improvements for the new version every week, and we always appreciate useful feedback.