Burial at Sea - Episode 1 ends with the version of Booker DeWitt you play as dying to the hands of a Big Daddy, which does make you question how Burial at Sea - Episode 2 picks this up.
The events of Burial at Sea part 2 are a direct follow up from the end of Burial at Sea 1, and the goal is still the same. To retrieve "Sally", though within this second part of the story, you play as Elizabeth for the first time in the whole of the Bioshock Infinite package. She is apprehended by Atlas who steals Sally, and threatens to kill her until she reveals she can help him and his gang escape from the sunken part of Rapture they're still inhabiting, at which point Atlas agrees to let her free to execute this plan and will give Sally in part exchange for holding up this end of the deal.
You will then take control of Elizabeth properly and go through the remainder of this mini-story to finally provide closure to the Bioshock Infinite experience, and will instantly notice the stark contrast compared to playing as Booker DeWitt.
Elizabeth is built for stealth. Her main weapon is a non-lethal crossbow that is supplied with tranquiliser ammunition and her lockpicking skill is developed to allow the user to pick the locks themselves and bypass doors/turrets with successful picks. She can also access areas via air vents and small tunnels underneath floorboards in order to bypass enemies without conflict and this episode also introduces the Peeping Tom plasmid, which allows you to become invisible in order to either sneak up on enemies to knock them out undetected, or just bypass them altogether.
She also does not have access to a shield like Booker, and her damage threshold is very low, meaning her character isn't built for run and gun, full force combat in the same ways that Booker DeWitt is, and since this is such a big and sudden shift in playstyles, it does feel strange at first. You will still get access to offensive weapons, but Elizabeth's skillset forces you into situations where stealth is the best way to get past most segments in this game, and is also compulsory to full completion of this trophy list anyway.
As before, Burial at Sea 2 adds 10 new trophies, with a similar assortment to that of Burial at Sea 1 on offer, containing an even mix of trophies based towards both progression and actions involving some of the new additions to the DLC.
It's important to note straight away, the "Taffer's Delight" trophy, awarded for Completing Burial at Sea - Episode 2 in 1998 mode, will be the difference between whether you have to play this episode through multiple times or not.
If you're sharp enough, you'll notice 1998 mode is exclusive to Burial at Sea - Episode 2, and requires you to beat the episode by non-lethal means. You'll only have access to the Crossbow and the Air Grabber, and whilst it doesn't really make the episode any more challenging, it is easy to overlook the importance of it to the trophy list when selecting your mode option at the very beginning.
I played through Burial at Sea - Episode 1 on 1999 mode under the assumption that one of the secret trophies would be awarded for such, but this was not to be the case. It would be easy to assume this here too, but Burial at Sea 2 flips this rationale over and now awards a secret trophy for completion of 1998 mode, so this would be a forgivable mistake to make if you ended up having to go through the episode more than once in order to complete the list based on prior experience.
Episode 2 is a slightly longer offering than Episode 1 too, clocking in at around 8 hours, so you'd probably prefer to dodge any sort of necessity to replay.
As for the remainder of the list, there are 3 progression-based trophies awarded at various plot points, including the conclusion of the Episode, and the rest awarded for menial actions with the new tools provided as part of Elizabeth's arsenal, including the new plasmids, differing types of crossbow ammunition and lockpicking. As previously, anything you manage to miss by the end of the episode can be collected within the chapter select option via the main menu, which has been a God-send throughout the entire Bioshock Infinite experience.
This package is very similar to the first installment, at least trophy-wise anyway, and despite being around double the length, shouldn't cause too many issues.