Light bulb out, tried to remove, lamp socket broke

Above the stove mounted microwave. I dropped the lens cover from under the bulb and tried to remove the bulb. The bulb separated from the base. I tried to remove the base with a pliers and the lamp socket broke. I ordered the parts and dropped the bottom cover of the unit down (5 screws). Removed 1 screww from the lamp socket, unplugged the wires and took it out. Simply replaced socket, fastened bottom cover of microwave, installed new bulb and closed lens cover.