I got my three non-Fate companions: Verity, Genre Painter, Ivy. Some kind person donated a ticket to me but I decided against getting either Ferret or the Abbott Commander.
The annual Feast goes like this:
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Wait for the Feast card to appear on your deck, raise Masquing. Exchange gifts.
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Second week: turn in gifts to the Lilac Lady to top up your Masquing (including Fate gifts), then exchange for the companion you desire with the other card ‘An Encounter at the Feast’.
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During the event, you might want to get a tattoo, perhaps even the coveted Noman tattoo:
Noman Tattoo (Guide) - Fallen London Wiki -
You might also want to do the Trance dreams:
An Arranger of Nuptial Phantasies - Fallen London Wiki -
I haven’t completed Cave of the Nadir or got married, so matrimony stuff at the Feast is irrelevant to me.