It would help if you told us the model number of your Fridge but nonetheless there is a diagram on that black fuse cover that should indicate how to remove that cover with a screwdriver. Mine has a 5 amp fuse, it's very easy to check. If it is not bad than what worked for me one time was to remove each electrical connection and clean for any corrosion (shut your power down before doing this) but I eventually had to replace the control board, not a big deal.
There are some video's on youtube to help you with some diagnosis and repair.