For me personally, I don’t like to encourage people to convince their parents for pets that the parents don’t want. Unless you have some financial independence which means you can afford the housing and vet bills (with a little help). Knowing my parents, they liked pets, but weren’t pet crazy so my concern is with similar parents who are willing to help pay for vet bills, but have a different opinion than you of when an animal needs to see a vet, and when it’s worth spending the money.
Do you have the accommodation for a second rabbit? The space, the money for food? I’m assuming you’re planning on bonding them? If they’re unable to be bonded, do you have the means to keep two rabbits separate permanently? Make sure that you have answers for all of these questions before putting it to your parents. They need to know that you have planned things out well for any situation.
Otherwise, in terms of arguments for a second bunny, basically the companionship for your first bunny once they are bonded. It is very rewarding having a bonded pair, and it’s great for them to have a snuggle buddy and someone to get into mischief with.