Haven't seen the 1st season since it aired, don't remember that part. But ok. Certainly changes the math if they're short that many people. Although depends if you're going into it expecting 300 and having them shorthanded, or only have 200 because it's more automated and 200 is the norm. Either way, i'll accept that as the number if it was onscreen and I missed it.
Dunno that automation really accounts for that number, as even the newest DDG currently has a complement of 323, so I don't know how they could send them out that critically understaffed. Can't tell me that there's no way to operate a ship if you split the crew in half, and then also tell me she's doing just fine with 60% of her usual complement

Certainly agree you can't afford any losses if that's the case, but doesn't work otherwise.
I guess you get a little hand-waving magic though, as newest active DDG is 112, and Nathan James is 151, so you're already a few years in the future and another generation or two of advancements in design. Maybe the DDG-1000 automation made it into the Arleigh Burke class by DDG151...
Don't know the answer, but wondering how effective a destroyer would be one on one vs. an attack sub anyway. Maybe she's lucky and was outfitted for anti-sub warfare package, but even then, seems like the sub would have a decent advantage. Especially if sonar is undermanned or inexperienced. Probably changes the math again if only a couple people on the sub have any experience, but I don't think they could even OPERATE the sub under those conditions, so it's already a silly premise.
In-universe, though, if they can cobble together a sub crew, Navy sailors could probably learn to drive a CG cutter. Agree it's useless against the sub, but they didn't know in advance they'd be fighting one. And same plan as before; if you run into issues, can send the other ship away, or just transfer crew back to DDG and abandon the cutter.
And again, all just a passing thought when they showed other ships at Norfolk, and then when they talked about adding the hospital ship to the fleet. Figured if they're thinking about it, what would be the smartest way to get the most bang for their buck. And a 20-crew (full complement, so could maybe run with a couple less) CG cutter would make a nice escort/scout ship.
All a moot point if the NJ was sent out criminally understaffed to begin with. But if 200 is closer to 'normal' staffing, they could probably spare a couple guys...