Recreate Using Illustrator

This project was my very first attempt at using Illustrator and I can already tell that I'm going to have a love-hate relationship with this program. I really struggled with the pen tool and trying to trace my object. No matter how many tutorials I watch, I just can't seem to grasp the concept of using the pen tool. I have learned how to work around using the pen tool in Photoshop and if I could do the same in Illustrator, I totally would. Regardless, I tried my best and I am posting what I made in Illustrator even though it is a little embarrassing (any advice about using the pen tool would be greatly appreciated).

Original (found on Google)

My Illustrator Version

My Photoshop Version