Should I continue to act the same way around my crush after he has told me he likes me?
No, this is for boring people. You put on a show that will leave him so dumbfounded that he forgets what he liked about you in the first place. Completely transform yourself and see if he still likes you. Confuse the hell out of him - see if he is smart enough to recognize the you he liked in this new girl that has emerged from you. Watch and giggle.
Of course, silly! He likes you, be yourself! Like him back! Don’t fret it, relax. Enjoy it!