Is it fair to make me pay for an expensive item I didn't break? Advice needed on drama with my stepmom?

Last night I had my window open and a strong breeze caused my door to slam shut so forcefully a frame hanging in the hallway just outside my bedroom fell to the floor and broke, and my parents are wanting me to be the one to replace it because they think I slammed my door in anger and so that it's my fault. We live on a palisade and get fierce ocean breezes all the time, and I'm an honest person and wouldn't just lie about something so lame, so I'm offended that they don't believe me. The frame was custom made (and it was for a painting I made for them!!!!!) and is just ridiculously expensive. It's not something you can just get at Aaron's Brothers or someplace like that. I do have my own money, but I don't want to waste it on something that broke when it wasn't my fault. The frame fell after I'd had an argument with my stepmom because she'd blocked my car in and wouldn't move it because she thought I was too sick to go to my dance cl last night. I'd been cooped up for the better part of a week and was finally feeling great last night, and I needed to go to that cl, and she wouldn't let me go because she thought the non-drowsy cold medicine I'd taken could somehow make me too drowsy (seriously) to drive that far, and because I was still very slightly feverish. I did go up to my room angry, but I didn't slam the door. So then today girls from my cl were annoyed I wasn't there last night, and that wasn't even my fault, and all I did was tell my stepmom about what they said, and then she got mad at me and we had another argument. I'm really frustrated by it because I adore her, and we usually get along awesomely. She's not even old enough to be my parent, she's only in her early 30s and I'm 17, and we are close friends, and she never treats me like this, and it's really upsetting. And of course, my dad sided with her, and was irritated with me and wanted me to apologize when I didn't even do anything wrong, and is forcing me to replace the frame. I already did say sorry just to try to make peace, and it didn't work. Should I have to pay for this absurdly expensive frame that I didn't even break? Any advice on how to smooth things over with my stepmom & dad that doesn't involve me paying for a new frame?