I don't think there's a meaningful contradiction unless we want to indulge in unrealistic legalisms. The 'legal' position regarding the Halfelven (admittedly unclear) was laid out by the Valar at the end of the First Age.
Statement one (from A&A) and Statement 2 (from Akallabeth) on the "life of the Eldar" aren't contradictory at all. Arwen is speaking in the present tense: rather obviously, she and her brothers have been enjoying the life of the Eldar for centuries, and will continue to do so for a while.
Nor is Cerin Amroth really a contradiction. Whenever according to The Rules her choice might have become operative and irreversible,
as far as Arwen herself was concerned her sworn word to marry Aragorn made it inevitable at some point in the future. That doesn't mean that her "Elvish life" was suddenly terminated at that moment.
When did it happen,
i.e. at what precise moment was Arwen's future permanently switched from the "quasi-immortal/Mandos" track to the "mortal/Heaven" track? Dunno. Possibly when Elrond took ship, but I don't think so. It probably was the act of physical union with a mortal, by analogy to Melian becoming fully incarnate by similar means- and already just after her wedding Arwen told Frodo that she
could not sail West. Perhaps we could also look at Elladan and Elrohir, who plainly stayed on past Elrond's departure, but who also (I am convinced) would never have abandoned their parents and pretty much everyone they had ever known for all eternity, and thus remained of the Elf-kind.
It's very murky what exactly the "change" was in Arwen or when it occurred. I'm not sure there was any physical chenge at all. When Aragorn died, 120 years after their wedding, she was "not yet weary," a stock Tolkien phrase for unaged. My cautious hypothesis is that the "change" was psychological, and spiritual: Arwen laid herself down and died because she couldn't live without Aragorn, not because she 'had to' by virtue of some external compulsion; and the Choice meant that she was permitted to follow him rather than be immured in Mandos.
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This implies Arwen has a choice in the matter independent of her then non-existent love for Aragorn
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Well, yes, she does: but why would she choose to become mortal, except for her love for a mortal? (To take a trivial analogy: I always had the theoretical option to become a Catholic, but no real reason to exercise it and join the Rome Team until I married a Papist).