What is true when it comes to this combination of pedestrian crossing and bicycle passage?
Review of the options:
I am permitted to overtake two-wheeled vehicles by the crossing. – Wrong. “No vehicles or trams may be overtaken right before or on an unguarded pedestrian crossing, an unguarded bicycle passage or a bicycle crossing.” (Swedish Road Traffic Ordinance). There are exceptions, but they do not apply here, as there is only one lane in each direction.
As the bicycle passage is unguarded, I am obligated to give way to everyone crossing the road on the bicycle passage. – Wrong, you are only obligated to give way to pedestrians, not cyclists. An obligation to give way means that you must always yield. “Adapting your speed” is not the same as an obligation to give way.
I may be obligated to reduce my speed if a cyclists starts to cross the road on the bicycle passage. – Correct. “A driver approaching an unguarded bicycle passage shall adapt their speed so as to not cause a danger to cyclists and moped drivers on the bicycle passage.” (Swedish Road Traffic Ordinance).
I am permitted to park within 10 metres before the pedestrian crossing and bicycle passage. – Wrong, it is forbidden to park before the crossing, but it may be allowed after.
I have no obligation to give way to pedestrians, as the pedestrian crossing is combined with a bicycle passage. – Wrong, the combination does not cancel out the obligation to give way.