I completely agree with atalose, and I just want to be honest with you because I see so much of myself when I was trying to end things with my AXBF in your post. Even when I was "leaving" and "going no contact," I was always finding little ways to keep one foot in the door.
You already asked him what he wants to do with his stuff. He told you to throw it away. As others have noted, if you keep the text conversation, there should be no legal ramifications.
Is it possible that you want to give him "another two weeks" so that you can have another two weeks? Is it possible you're trying to keep one foot in the door here? If you truly want it to be over, no contact means no contact.
I know this is hard, and my heart goes out to you.