I'll attempt to show what I get, though the forum doesn't seem to like images at present and I've had to collect them as attachments at the end of this post.
I can´t get GH to work. I have installed AddonGraphHopper_16_0.7_release.apk and GH data via Locus action button. When I start the Addon, it just shows me the content of the data directory (here: germany.osm). I can click on it, but I can´t select it in any way.
This is correct behaviour. If you had routing data for more than one region you could select the appropriate region here.
In Locus I can select GH as offline service, but there are no routing profiles offered to me (if I click on the little symbol with the three lines on the right site) as in GH online or BRouter.
If you are referring to the "sliders" icon, I get different results with GraphHopper online & offline here. GH online gives options for avoid highways, avoid tolls, avoid ferries. GraphHopper offline just gives the option for the data file, just as when running the addon directly.
These routing profiles are missing in the route planner, too.
You should get a choice of profiles when you select Navigation. With GraphHopper online they are: Car, Cycle, MTB, racing (bike), Walk, Hike. With GraphHopper offline they are Fast (car). Fast (bike), MTB, Racing (bike), Hike.
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If I select a crossing on the map and use it at navigation destination from the flyout, I get the error popup: Graphhopper cannot load notes.
That sounds like an error. have you tried reinstalling the addon and data?
I don´t know if it´s important, but I store all my maps on external SD. GH data are correctly copied to the external directory defined in settings.
External SD cards are notoriously difficult in Androids. Can you try moving the data to internal memory?