mmm.... no. no, I cant... I don't follow the mechanisms so much either.
What I think is important, as far as this question is concerned, is that you can use silver nitrate and water to deprotect a dithiane to give the desired ketone. The NCS is an additive to react with the sulfur chemoselectively to transform the mercaptan to something that can no longer participate in the reverse reaction (thus driving the reaction to completion). Often, mercury is used for sulfur sequestration purposes, but not so much anymore for obvious reasons. It seems that sulfoxides and sufonyl chlorides are the main product of these oxidations, but would likely be hydrolyzed on workup. The mechanism is probably radical in nature and probably not well understood.
What I would take away from it is an unusual set of conditions for the deprotection of a dithiane. The mechanism, as far as I'm concerned, can be drawn the exact same way as typical acid-catalyzed deprotection of an acetal, but with sulfur instead of oxygen and silver instead of a proton. If this is for a class, you should check with your prof.