Okay.

In regards to the “you served my father in the clone wars…” it’s too specific, it in no way implies “you served my father and a one hundred thousand other Senators during the clone wars” further more Obi-Wan served The Republic for thirty odd years before that.

I can’t even imagine why Lucas chose not to use Alderaan as a key planet in the prequels.

I always assumed that the Jedi and Clone Army would at some point come to aid of Aldeeraan, hence “you served my father during the clone wars…”

(I would have the opening battle in Revenge of the Sith take place in the skies above Alderaan. Palpatine could have be on a “diplomatic mission” to ensure Alderaans allegiance to Republic, when the planet is attacked by the Separatists and Palpatine kidnapped.

The contrast with the War Machines and the beautiful peaceful planet below would be much more striking and Coruscant features far to heavily throughout the films. The prequels are almost like a Bond film set entirely in London and MI6 headquarters.)

“Do you remember your mother, your real mother?” Again, pretty specific. Lucas himself has said that this line was included as “The Mother” was going to play an integral role in the prequel trilogy.

The character is just lying or misremembering?

That’s just making excuses for poorly thought out writing.

As for Tarkins’ line “you my friend are all that’s left of their religion…” Personally, and I know this is not how it was originally written (Vader was not intended to be Anakin at this point) I think it can be interpreted that Tarkin knows Vader was once a Jedi.