Why isn't there a 삭제 button in my own 투표 and clubs?

Once a club has been created, it doesn't just belong to whoever created it. It also belongs to other members, and to 팬팝 in general. That's why a club can't be deleted. Even if you've 로스트 interest in it, there might be others here who like the topic and might want to join.

I think it might be possible to leave a club once you're not the only member, so if others have already joined this might be your best bet. Otherwise, 당신 can 신고 the club if it's a duplicate 또는 inappropriate, and get it deleted that way. 당신 can't 신고 it for deletion just because 당신 now think it's a stupid topic for a club, though.

투표 are the same way, belonging to all of 팬팝 and not just you. I think it's possible to edit/delete 투표 for a few 분 after creation, but not later. Otherwise people would just spitefully 삭제 any 투표 whose results weren't going the way they wanted.