I agree, this was rushed, I know you can do better, if you got after effects give that a shot and take your time on it, but most importantly think what your gonna recreate first
After Effects is a superb tool but it needs to be mastered.. Before you start your designs get to know your tools and practice, practice, practice.
Don't even try to recreate anything first Just tinker with your tools ( ) and see what you can come up with
Take your time. No-one is rushing you. There are plenty of tutorials and there's plenty of help here if you but first have a go yourself.