I think 6 is overkill in terms of resources allocated to the BSF, better send those 2 of those hulls to Pacific and 1 to North.
I think the order of 6 new frigate sized vessels is a good thing, and that as a stopgap till the Gorshkov frigates are ready for mass production and of course the new destroyers are ready to put on the slipways that they are a move in the right direction.
Obviously the Black Sea Fleet is not in a great condition... they have a lot of old ships needing replacing, but that is the same for all of the Navy.
Now that Shakashvili has played his hand and invaded South Ossetia and been pushed back I rather think the Russians will have changed from having a small peacekeeping force in SO and Abkhazia to a much larger and much better equipped and prepared force that will totally crush the Georgians if they try anything again, so the Black Sea Fleet, while it needs improvement is no longer a number one priority.
I rather suspect that the Pacific will be a priority for a while as those Mistrals will need vessels to support them plus a general port upgrade.
In the longer term of course the Northern Fleet will need expansion because of arctic claims and increased operations there looking for resources, and of course the Baltic is Russias gateway to the Med so eventually it will likely be the Fleet that they send frigates and destroyers from for anti piracy missions off Africa though with further naval expansion a port in India or an African country will reduce costs as it will save costs in traversing the Suez canal.
They will likely be very close to the Indian ships to expedite construction, hopefully they get VLS Shtil, at best there might be Redut like the 20380s, but no Poliment, though I find that unlikely personally.
The articles I have read suggest that the purpose of them building the Talwars was because it is already developed and thus ready to go with less testing than custom designed new stuff.
As such i would expect the Vertical launch Shtil-1 system to be used, but having said that the Redut systems are to be used in most other Russian vessel from Corvette to carrier.
Regarding CIWS I wonder if naval Pantsir-S1 is ready, or if Kashtan-M will be used...
I am assuming that naval Pantsir-S1 uses the longer barreled 30mm 6 barrel cannon of the Kashtan-M and have the missiles in two clusters of 4 missiles that can be reloaded from a below deck missile handling system just like the Kashtan-M.
That would mean it would simply be a Kashtan-M system with newer sensors and longer (double) range missiles able to engage targets down to 2m off the water and up to 15km above the water.
Each mount can engage 4 targets at once, so its performance is pretty good.