My boyfriend is still obsess with wearing a shirt that his ex gave to him?

They just broke up after a month (he dumped her) He told me he is over her and he hates her but not sure if I want to believe him. Now, I have zero problem with the fact that he's wearing it but he is using a pic of him wearing that shirt as his fb profile pic. He also still have it on his insta. Another thing is, I could see a hickey on his neck in that pic. I checked his fb and they are still friends. Am I worrying too much?
My boyfriend is still obsess with wearing a shirt that his ex gave to him?
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