You have a 2009 Briggs engine, model 126T02-0220 L-head engine. Having worked on a few of those in the pass I’ll bet two things will solve your two problems. First, clean and rebuild the carb with a new float, float needle and seat. This should solve your starting problem. Second, just above the primer bulb you will see a metal bracket with a hole in it. There should be a governor spring attached here. Start the engine and with a needle nose pliers slowly pull out on this hole. (Don’t know how to better describe it). The engine speed should slowly increase, to give you more power, but don’t over do it.