WRT chlorine: you don't need campden tablets for chlorine but you do for chloramine. See
https://www.homebrewtalk.com/forum/threads/campden-tablets-sulfites-and-brewing-water.361073/ for tips on how to tell if you have chloramine, what dose to use and what the consequences (residual ions) of campden tablet use are.
WRT gypsum: it has a small effect on mash pH (smaller than most people think) because of its calcium. Calcium chloride thus has the same effect. It is not enough to make control of mash pH via these salts practical. That is done with acid or acidualted malt.
As to ideal mash pH: lagers are generally mashed a bit higher than ales and some fancy that a higher pH makes stouts taste smoother. You will have to experiment to see what pH gives you the beer you like best. Shoot for 5.4 -5.6 to start. You won't go wrong in that range.
5.2 stabilizer does not do anything close to what it's labeling claims and it adds a lot of sodium (it is just sodium phosphate). It should be taken off the market.