Parking in Honduras is generally ad hoc but wherever you park, you must ensure that the wheels are no more than 15 inches from the kerb or edge of the road. The country is dangerous so it’s recommended that you always use attended, well-lit parkin where available.
In the cities like Tegucigalpa you’ll find plenty of paid parking that is relatively safe. Elsewhere parking is generally free but make sure you park in the open and in sight of other people.
The police follow up parking infringements, usually with a ticket but in extreme cases by towing your vehicle.
Honduras has no specific scheme for disabled drivers but if you need assistance you should use one of the attended parking lots and ask for help.