The season went by and I had very little use for the bike, as we moved to a new apartment and never really had the time to do some long overdue basic maintenance for the bike.
As I recently took the bike to winter storage (at a place nearby) they luckily also offer maintenance for motorcycles. So I decided to let them do the dirty work. Few days ago I got a call from them and now the tires have been changed and the rear brake cylinder hose was changed (had rotted to bad shape) and the front brake lever will also be completely renewed as the old had a bolt that had rusted so much they broke the lever when trying to free it.
Old bikes have their quirks… But for the next season it should be pretty much like a new one. ;)