2009 Honda Fit Acceleration Hesitation

I'm having glitchy acceleration problems with my '09 Honda Fit Sport 5 speed AT. Before I start, I've eliminated coil packs, spark plugs, AT fluid, and the air filters as a problem.

The issue I need help identifying:

- When accelerating through first and second gears from a complete stop the acceleration is inconsistent. The car does not move smoothly forward however it feels like the acceleration is inconsistent. When pressing on the accelerator the car hesitates at low speed for about 1 to 2 seconds and then immediately moves into a higher speed. If I press firmly on the accelerator pedal down to about one third to the floor, acceleration is a very pronounced without any hesitation, the engine read this, and the car moves forward. This is just not good for stopping go traffic as I could rear end someone.

- No misfiring during highway travel. Car maintains consistent speed.

- Car lunges forward when shifting from park to drive. This is the only time it happens.

- Turning the ignition first thing in the AM is a more delayed response than at any other time. So, the starting the car I can hear the car "turning over" for about 1 full second when the engine is cool in the morning, and it happens instantly at all other times.

- Driving in first gear in slow traffic the car's speed hesitates. If I'm driving in first gear in slow traffic for a bit and then give it more gas, the car again hesitates until it reaches third gear. There's no grinding or clunking, it's just as if it struggles to reach a consistent speed.

- Check engine light has never been on.

- When driving I can periodically smell burnt off motor oil (very faint smell and no smoke) coming through an open window or through the vents. There is no oil leak.