Is the temp sensor in a liquid in the fridge, or is it sensing the ambient air temp? The ambient air temp would need to be lower to get a ferment temp in the 60's.
And depending on the ambient temp where you are... 60 does not feel very cold. If the fridge was at 40 it may not cycle for a while. I would check the temp of a liquid in the fridge.
And no, most fridges do not have a reset. If something was scewy with the wiring of the temp controller, you might have tripped a breaker, but then the light in the fridge would not come on either.
Reformation Brewery: We went professional
Obsessing over: starting a local brewery (hence I am not here much these days!), Pickles, my wife, 3 year old and 6 year old
Reading: fall of giants by ken follett
Building: gardens, recipes, and trailer mounted smoker/ wood pizza oven