Many of those are local by-laws or Hausordnung (house rules).
Hanging washing out on a Sunday - haven't heard that one. You aren't allowed to mow your lawn or use loud tools outside on a Sunday though.
Making noise generally has rules. You are not allowed to use loud machinery (including lawn mowers) during the "Mittagsruhe" (12:00 - 14:00) in a residential area and not after 21:00 in the evening. Rules for mowing the lawn vary from region to region.A friend near Hannover has to mow his lawn at least once a month, where I live there is no such rule.
BBQ on the balcony is generally allowed, but due to the smell and smoke, you are often limited in the house rules as to how often you can grill, so that you don't annoy the neighbours too much. Some flats do ban it, but it isn't a general rule.
Dogs barking - local law, although probably comes under the 21:00 rule above for noise polution. You can't stop a dog barking, but if it is consistent (long periods every day), then you can complain the the Ordnungsamt.
Car washing - not on a Sunday in Niedersachsen (Lower Saxony). That is a state law. The not washing your car at home is for water table polution. Every car wash has to have a Klaranlage (water filtration system) to remove the chemicals etc. from the water before it is allowed into the drains. You don't generally have such a filtration system in your drive...
Failing the driving test 3 times - never heard that one, but then both daughter passed their tests first time and I took my test in the UK in the 80s.
Winter tyres (or all weather tyres) are compulsory when there is snow or ice on the road. It is a recommentdation to change in October. "Oktober bis Ostern" (October to Easter) is the traditional wisdom for winter tyres.
A fine for shouting abuse etc. is generally not allowed - "Nötigung" or causing duress is illegal, although generally unless it becomes violent or threatening it is generally ignored.
Recycling inspectors looking in bins - well, that is their job... :-S
Weed killer ban - sort of. There are certain types that can be used, but again it is for protection of the water table and nature.
Clearing snow - tell me about it, we have an "Eckgrundstück" (corner plot), so I have to not only do the front, but the side of the property, which is a around 150M in total. But you can't use salt any more (water table again), only clear the snow and grit. If you fail to do so, you are legally responsible for any accidents on the pavement in front of your property.
Our neighbours are generally very tollerant, as are we. We complain that they make noise sometimes, among ourselves, but nobody would think of grassing up the neighbours.
I would assume, as long as Uber requires all drivers to get people carrying licences and insurance to cover paying guests and that they use the legislated rates and meters, then they shouldn't have any problems.