No, it's not bad to like school. It's a good thing! It's sad that people will take advantage of that though. I hope you made it very clear to the teacher that you did all the work.

I'm not a native English speaker either, but I would say that 'felt heavy' means something else than 'felt heavily'. The first meaning how it felt on your skin and the second meaning how hard the rain fell. But I could be totally wrong about this.