This is just personal preference, but especially when apping into a new game, I would rather applications be public to being screened. I like looking through others' apps to get a sense of what exactly is being looked for, and where mods are frequently asking for revisions. If you think privacy is more important, I totally understand, but that's just my two cents.
As for the app itself, I agree on the CRAU section, with how complex it can get combining all that history. Further, I would maybe turn the key points / history section into an either/or thing: either 5-15 points or 300-500 words, whichever is better suited for the player and canon. (eg, apping someone like Mario might only really need five points, but a JRPG protag is probably gonna need the full 500 words) As it is, the sections are a little bit redundant, and neither are as important as the personality section. If anything, the history can serve as a bibliography for the personality section.
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As for the app itself, I agree on the CRAU section, with how complex it can get combining all that history. Further, I would maybe turn the key points / history section into an either/or thing: either 5-15 points or 300-500 words, whichever is better suited for the player and canon. (eg, apping someone like Mario might only really need five points, but a JRPG protag is probably gonna need the full 500 words) As it is, the sections are a little bit redundant, and neither are as important as the personality section. If anything, the history can serve as a bibliography for the personality section.