Shaking and smells like rotten eggs

I was sitting in a drive through with my car in D and foot on the brake as I collected my food. Suddenly the car started shaking like crazy. I put the car in park and the shaking subsided. First I looked at my rpm meter which was a little under where it normally is and was twitching up and down fast. The range of the twitch was minute. Then i smelled rotten eggs through my open window. I left the drive through and drove the two minutes back to my office. When I was accelerating the car would shake. Coasting there was no shake. When breaking no shake until I came to a stop. Then the shaking would resume. When my window was open I would get a fainter wife of the sulfur than at the drive-through where it was strong. I decided to drive the car home at the end of the day and drop it off at the service center of Toyota. It's a 14 mile drive and I figured this would be a chance, but, the drive was similar to what I described before. The next morning I drove 1.6 miles to the service center and dropped the car off.

My guess, misfire(s) that let gas into the catalytic converter. I am not sure if I lost acceleration power because I took it easy when driving. The shaking was rather horrible the more I pushed the peddle so I took it easy. Tops of 40 mph when coasting downhill.

What do you all think?