Alright, so 2 things happened.
1) I’m in a romantic relationship for homecoming, but my date doesn’t want to continue it. How do I tell her that I want to be with her?
2) I have gotten into some drama with my Quiz Bowl team. They didn’t give me respect, so I ended a relationship between a member of my team and his long-distance girlfriend. Now, I am practically hated by my team. How do I gain respect? Or should I go against them?
1. At this point, respect her wishes, and learn to accept that NO means
NO. She might change her mind at some later point, but if she doesn't, then she will have decided that you're not the guy she wants to be with. Keep in mind that when someone says no to you about relationships, it's not always about being intimate, where "no" NEVER means "yes" or "maybe".
Dunno how soon your homecoming event is, but if you want to go with someone, you'd best find someone else. I really have no idea how the social aspect of these things work, since we never had them at my junior high and I avoided all high school dances and parties (was never one for dressing up and preferred guys as friends, rather than anything more since breakups are messy).
2. Interfering with another person's committed relationship is something I can't fathom.
Seriously, this was not a good thing to do, particularly out of spite for not being "respected" (you don't say
how they disrespected you). If they bullied you, talk to a trusted adult (ie. whichever teacher is supervising this activity). Or a guidance counselor. If not your parents. do you have any other adult relatives you trust, like an aunt, uncle, or grandparent?
The only time when this could be a good thing is if abuse is happening. Helping someone to escape an abusive relationship (physical, verbal, emotional) is not bad. But that's not why you did this.
My advice is to think really hard about this, and use the advice given here by everyone who's said that you need to apologize to everyone affected by what you did. You're not going to get respect any other way.
Here's some more advice about apologies: Never,
ever use the word "if" or the phrase "I'm sorry you feel that way". Own up to your deeds. There's no "if" when the other person/people were definitely offended or harmed in some way (harm isn't only physical).