These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Fridge Logic: If Masaki is so determined to see Kaoru at the junior national championships, why doesn't she just buy a ticket? Ironically, when Kaoru doesn't make the championship he does buy a ticket just to see Misaki.
As noted below, her wanting to see Kaoru was just part of her motivation. She loved figure skating from the very start. Besides there's a difference between watching his perfomance from the audience and being fellow contestant.