Swaziland’s parking style is very haphazard and generally involves abandoning your car near the side of the road, especially out of the towns. You’ll rarely get towed for obstructing, more likely simply facing an irate crowd or for someone to find you to ask you to move your car.
Although there is paid parking in the main towns, few use it. For that reason you’ll often find the parking lots and garages near empty. It is recommended to use the parking garages, especially at night for security as they are usually attended.
Parking issues are normally dealt with by the police but very infrequently.
There are very few concessions to be found in Swaziland for disabled drivers and the onus is on you to negotiate a more accessible space. Usually you’ll be assisted, especially if you choose to park in a attended garage.