Randy Seltzer, your “Passover” analysis was a helluva lot more thorough than mine; I only had in mind, “liberation from captivity, death passing over the enslaved to strike down the captors,” but you really got it down! 
As for the Easter comparisons, Phillips wasn’t literally dead and buried underground in a crypt, of course, but I think being kept under wraps (a tarp) in a lifeboat with one’s would-be killers, all but dead to the world, for three days+, only to be liberated on the fourth to enjoy a second lease on life comes reasonably close to the basic Easter narrative.
Of course, the captain wasn’t merely passively liberated by the Seals, but managed to escape a second time, jumping overboard, which freed up our guys to fire at the lifeboat and the pirates on it.
I hope the most salient tactical details remain secret, to be shared only among military and merchant-marine circles. I wouldn’t be surprised if the captain and the Seals had managed to establish some kind of communication through the captive’s softly tapping in Morse code or something. The Seals may have been a near-constant underwater presence in the shadow of the lifeboat after a certain point (they’d have to be flown to a ship in the immediate vicinity, of course). Perhaps the guiding rule for other American hostages in near-identical situations in the future will be, “after a certain interval required for commando staging, go ahead and dive overboard if you can, swim straight down, and a Seal will greet you with SCUBA apparatus and escort you to the shadowing naval ship.”
And I’d expect the Navy to at the very least to have been eavesdropping 24/7 with a crude parabolic dish (like the ones used in football broadcasts to pick up sounds on the field), and establish a link to some govt. Arabic translation team somewhere, to suss out what the pirates were saying to each other, and to determine their morale, etc. Plus thermal imaging devices, to spy on the movement of the persons on the lifeboat… as much as I would love to know all the details, it’d be better for the sake of future missions if the U.S. govt. kept the operational stuff under wraps.