In Cuenca there are three Supermaxi groceries. The branch that is easiest accessible by car is the one at Avenida de las Americas (S 02°5322.5 W 79°0125.9), with unfortunately small parking lot. The supermarket in Mall del Rio directly at the Pan Am has a broader range of goods on offer (stationary, clothing aso.), but limited delicacies.
Propane can be refilled in Cuenca at Austrogas (S 02°5026.3 W 78°5339.1) on the road to Azogues. Propane is as fuel in Ecuador less expensive than in most of the other countries.
You can purchase third-party insurance for your car (SOAT) at Seguro Colonial (S 02°5423.0 W 79°0023.9) at the stadium (estadio), where even prolongations for one of three months are available.