On the presented two-way road, are you allowed to park the vehicle by the right edge of the roadway immediately past the pedestrian crossing?

Stopping a vehicle is prohibited at a distance of less than 10 m before a pedestrian crossing. As you are on a two-way road, in accordance with Art. 49 para. 1 pt. 2 of the Road Traffic Act, this prohibition also applies to the 10 m section after the crossing. Parking your vehicle in this location would obstruct the view of pedestrians for drivers approaching from the opposite direction.