Hey there! 
So usually before you go into bonding sessions, you’ll want to do some pre-bonding. This consists of switching them between cages/areas every two or more days, and/or giving them something to get their scent on and giving it to the other bun (i used a fluffy sock, others suggest a stuffed toy. If you use a stuffy, get one without glass/plastic eyes. I’ve heard ones meant for babies are best because they aren’t made with harsh dyes or choke-able pieces.), and switching litter boxes, etc.
Having their cages, or pens, next to each other is a good thing too. Just have a couple inches in between, in case anyone gets aggressive. 
It gets them used to each others scents, and helps them become less likely to be aggressive to each other. This part, i would say, should be at least two weeks long. But if more is needed that’s normal. Since they’ve already met, they might not need as much pre-bonding time.
Bunnies are extremely territorial, so pre-bonding is important because fights can break out between buns at the drop of a hat. Although Chappie and Mellow sound like a good pair in the making , they just need more time to get used to each other. You definitely don’t want to risk a fight though. If a fight is bad enough, it will make it really hard to bond them because they’ll have like a “grudge” against the other bunny because of it.
I would go back to the pre-bonding stage. Nipping can mean a few different things, wanting to be groomed, just them grooming (they do that sometimes during grooming), aggression, etc. It sounds like Chappie wants Mellow to groom her in return to her grooming him, but Mellow isn’t giving in. 
After pre-bonding for two weeks, bring them to a neutral territory. An area that neither bun has been before, so there’s no chance that they have already “claimed” that area. First introductions should last about 5-10 minutes. Set out some hay, veggies, and/or treats. I believe this helps distract them and realize that they can relax in each others presence, and associates the other bun with something good!
If there are any signs of aggression, separate them and go back to pre-bonding for another week. Then restart the introductions in a new neutral territory. Hope this helps! 