There is definitely something wrong with my iPhone SE home button. It's definitely very clicky on the right side of the home button. If you hold your finger over the right side of the home button, you can actually press down on the glass without actually pressing the home button. This doesn't happen on the left hand side though.
It makes an annoying sound at times as well, almost as if it was stuck and it feels weird when it happens.
I do have AppleCare+, so I do plan on making an appointment in the near future.