I need other opinions!! Am I over thinking?!?

My boyfriend and I broke up about 2 days ago.. He text me saying he wasn't happy and wanted to focus on his self let's stay friends etc. well I didn't fight it I just let it happen. Well I text his bestfirend which became a good friend of mine bc me and my ex dated for over a year. Well the reason why I texted my ex best friend is because I had this crazy idea of asking him if it would be bad if I asked my ex about fwb. I thought about it and it was stupid but corey( my ex's best friend) texted me somthing that caught my eye. He said that if I wanted nothing to do with him I need to leave him alone. And if I cared I need to show I care and not just want his penis. The way i saw it was that my ex broke up with me bc he thought I only wanted his penis. I'll show you a screenshot. But the reason why I'm confused Is because I told Corey that I wanted to be fwb with my ex no strings attached just sex. But Corey says if you don't have feelings for him leave him alone. So I'm thinking my ex broke up with me because that. Here's a screenshot of the messages. I know it's stupid and I'm simply wanting second opinions on if I'm over reacting the message ?