I'm noticing people using the wrong moves for Pokémon, or using their own made-up characteristics, and listing ability (in this setting, it's assumed a Pokémon can have any of its obtainable abilities, including Dream World, so there's no need to list it).

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Veekun is an excellent resource for looking at every move a Pokémon can learn during the generations, or looking up what Pokémon are compatible with a certain move. I highly recommend this site when building your team!

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Here's the Bulbapedia link for characteristics because, unlike Natures, people seem to not know of these. I don't blame them, really, but knowing the traits the official games use is still nice to know and put on your application.