As I said, I'm not that familiar with form 8615. I'm just digging in, because you have an interesting case. You appear to be doing it right. But the result doesn't seem right. The kiddie tax is when the child's income is taxed at their parent’s marginal federal income tax rate. $8162 / 14273 = 57%!!!! The parent's rate is 22%, at most.
I plugged your numbers into TurboTax and TT is doing it differently, getting the results I expected. My advice: let TT do it.
But, at this point, I'm stumped. So, I may not comment further.
