If having problems with a 2-pin part, I would not suggest trying any more complex soldering at this point. For this component, you could use a good pair of tweezers (sharp ends, curved ends). Something like SMD107-SA (google it).
Take some solder wick and remove all solder from the pads. Be sure not to heat up the pads for too long or apply too much pressure or you'll lose the pad. Clean your solder tip. Use of some form of magnification and good lighting would help. A desk lamp w/a lens or a headband magnifier + utility light would work.
With solder ready, heat the pad with the widest trace (power or GND side). If both are "skinny" traces - then just pick one. Once heated, take some solder and put a small amount on the pad so the pad now has a layer of solder.
Take your tweezers and line up the component so it is centered over the pads. The side with the solder on the pad will be slightly raised. Heat both the component and the pad (solder) while keeping the component steady with the tweezers. Anchoring your hand on the PCB will help steady the hand. You should see the solder is shiny on the pad and component after done.
Clean your solder tip. Quickly put a small dab of solder on the end of the tip. Use the tweezers to steady the part. Now heat both the pad and component of the other side of the component. The fresh solder on the tip should flow to the pad and component once they are heated. Once solder starts to flow, remove the heat and keep the component steady to prevent a cold solder.