A Tarot Deck consists out of 22 Major Arcana Trump Cards, and 4 Suits of 14 Minor Arcana. The Suits are Swords, Staves, Pentacles, and Cups. Each suit has pip cards, which carry the numbers 2 to 10. Furthermore they have five Face Cards, which are the Jack, Knight, Queen, King, and Ace. All Major Arcana have individual names, except for one card that is entirely nameless. Some call it Death instead.
Long before people officially began connecting special abilities to the Tarot deck, Tarot cards were already used as both playing cards and divination tools. Various different interpretations exist, but nowadays general Tarot Lore follows a single set of meaning. There is still some wiggle room, but that is mostly applied to combinations of cards, not single ones.
While Tarot abilities are linked to Tarot cards, it's not the case that specific cards connect to specific abilities. While some researchers claim so, for every researcher or academic that claims a connection, at least two more deny it. Research does suggest some form of connection, but mostly at Suit-level, not at specific card-level.
For those with fervent faith in card-laying, it is common to have a soothsayer lay the cards for every grand decision and born child. Though prejudice against this kind of beliefs keeps them from doing so publicly. On the other hand, general Tarot Lore is relatively accepted by many. People may state they don't believe in it, but they're careful enough to not go against it, just in case.
Major Arcana
Each of the Major Arcana has 3 to 5 phrases attached to its interpretation. During a reading, one or more of these phrases may apply. When laying cards to describe a person's personality, a single Major Arcana card is meant to represent their overcompassing personality. When using upside-down cards as well, this will mean the reverse.
Minor Arcana
Each of the Minor Arcana has a single phrase connected to it. Face Cards have the same meaning for each Suit, where their meaning has to be interpreted in the context of the Suit itself. In simple terms, Swords are often associated with physical offense, Staves with physical defense, Pentacles with mental offense, Cups with mental defense. Personality readings include a negative, a neutral, and a positive character trait.
It's interesting what you chose to keep from traditional interpretations, and what you chose to change. I'm a little biased, having been a professional Tarot-reader for several years, so I find myself resisting the changes, but there's no reason you can't make them. :) You have referred frequently to Tarot-magic in the articles for this setting. My one critique of this article comes from that. I was hoping that some explanation of how that works in your universe would come with this article -- and it has not. Nothing I have read yet tells me why your people are so concerned about the Tarot, or whether it has any effects at all in-world. You speak vaguely of links to "abilities," but do not flesh out what those links are. I think this might be important to your setting and would like to learn about it in more detail. :D If you want to consult with someone for real-world Tarot info, I'm happy to help. That said, again, there is no reason why Tarot in your world must be anything like IRL Tarot, so perhaps you have no need, and that's totally valid! I appreciate the detailed breakdown with the table. I might suggest adding an image or two. Finding public domain Tarot images is not that difficult, although finding images of the Thoth deck, since the OTO claims copyright over anything associated with Aleister Crowley, might be. Overall, despite my nitpicks, I think this is well done, and it deserves my Like. :D
Tarot Abilities and Tarot Cards are mostly two disjoint lines, with only a few characters fully understanding the actual links, being able to effectively lay them for others. Unfortunately I am lacking time to write both down in WorldEmber, though I'm pushing myself. I went with cards first so I can start writing down some of the characters, for who I did the personality-lay like described here, written down years ago. The short summary would be most Tarot Abilities are basically materializing weaponry, elements and such, and even users tend to claim it's not actually tied to the cards. Then there's some of them laying cards, and they can quickly paint a person in rough lines through those, and even pinpoint what Suit abilities a person is most-talented in, so there's definitely more to it than researchers can find. I will keep writing articles on Worldbuilding Monday even after WorldEmber, so fingers crossed I can properly cover the disjunction in the near future. For now the priority is writing down the main five.
Too low they build who build beneath the stars - Edward Young