Update: I took apart the cover at the back of my fridge to check the compressor. It was making a "click" noise every 1 min or so. So I decided to take off the start relay attached to it and what do you know, the relay was burnt to a crisp.
So I went out and bought a new relay for $50 and now everything is in working order again. Thanks everyone for the help. Also anyone know the reason why my relay would burn like that? It was burnt so bad that if you used your hands to squeeze it, it would turn into a pile of dust, literally.