Normality doesn't really exist, so I can't answer your question. What I would say is :
- as an aro, I have lots of common points with you. That doesn't have to mean anything : I love pasta. Everyone that loves past isn't aro
- your orientation, or at least the label that you put on it, depends on what you want it to be. If you feel comfortable on the aro spectrum, just go for it, you don't need ANYONE to validate or invalidate you. Also aromantism is a spectrum, there are plenty of possibilities. Although, if you don't think that's for you, you can also search a little more for something that fits you better, or keep the searching for later and just not label yourself. The most important is how YOU feel it.
Oh and things change. You can just identify as something right now and change later