Yes. The Remington Solar Attic Fan (30 - Watt) will cover an attic space up to 2,500 square feet, so one fan would likely provide plenty of circulation for your 8x10 shed.
The thermostat on the Remington Solar Attic Fan 30 - Watt is not adjustable.
It has a Humidistat and Thermostat that allow it to automatically fight moisture or heat based on its readings.