A couple of points that might help:-
Whether you need to add priming yeast after lagering is debatable, personally if it was a long cold lager, it was a very heavy beer and especially if you have used a fining like isinglass in the lager I would.
The yeast I would choose is 514, I know it cops a bagging on AAB but its very temperature tolerant, attenuates pretty well and doesnt throw many flavours, even at unreasonable temperatures, the fact that its cheep as chips doesnt hurt either, so its a great choice for a bottling yeast, even if it wouldnt be your first choice for a brewing yeast.
The bottling yeast you choose determines the temperature you need to store beer at to carbonate it, so if you chose 514 you would store your beer at Ale fermenting temperatures for conditioning (i.e. 16-25C). Conversely if you were conditioning with a lager yeast, you condition at Lager fermenting temperatures (10-15C).
Fining appears to baffle people, PVPP isnt a fining (well its an ionic fining), its a relative of plastic and it chemically binds polyphenols that take part in the formation of haze. There are lots of ways to use PVPP personally I think the best is to pre-coat it onto a filter and run the beer through it, but adding it to the lagering tank works. I would add it late in the lagering probably just a couple of days before decanting. If you add it early it sinks to the bottom and could easily get covered with trub reducing its effectiveness.
The two most commonly talked about finings are Gelatine and Isinglass, I know of no commercial brewery/brewer using Gelatine, they all use Isinglass.
Isinglass as well as helping to remove yeast from suspension will help chill haze to settle, so it works in the lagering tank as well as in fermenter gelatine wont act on chill haze.
Isinglass also contains much higher concentrations of the most active type of collagen so you need a lot less to achieve effective fining, and Isinglass fined beers have better head retaining properties.
I dont know if the Fining and the PVPP would inter-react but to get the best out of both of them I would use them separately.
Rack the beer get it really cold (-1 to 0C) add isinglass add PVPP 2-3 days before racking (cold) allow to warm to ambient add priming sugar solution (and yeast optional) - bottle.
As for the carbonation calculators, I dont use them so I cant give any advice other than conditioning temperature is governed by yeast choice.
Hope that helps
MHB