Do I have have emphathy? Third party opinion needed.

Does understanding the situation and knowing the reason why people is unfortunate considered empathy? Or do I also have to actually feel bad for them as in emotionally?

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BACKSTORY below *only read if interested otherwise just the answer is fine
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So basically in the recent years I feel like I am losing confident in whether I am really an emphatic person or I am just losing it.

Why only recently? Because in the recent years I decided to accept the hatred instead of trying to be the "good person/student/friend/etc.” I have always ran away thinking that I can't hate people no matter what harm was done to me and was forcing myself to be some kind of saint.

Quite a few sad and terrible things have happen to the people around me however I don´t see myself reacting the same way. I understand the theory or concept (as a textbook) of why people is sad and why should I too, but that’s it I don´t feel my hear "break" for it.

Once I started thinking of it, many memories came to mind making me less confident (I don´t have a memory of truly crying or feel bad for someone, only have ever done it out of manners)