1.Stats: Should Politoed get a stat boost, Evolution, Mega Evolution or nothing?
+10 BST to match Poliwrath is obvious. But Politoed can get +40 at most.
A side evolution already exists, and a fourth evolution is impossible.
A Mega would require a good Ability to work.
2.Should Politoed get more abilities?
Regenerator would be cool.
3.Should Politoed get more moves?
Recover would be obvious. More Psychic moves like Calm Mind and more Dark-type moves like Nasty Plot and Dark Pulse would be fun as well. Teeter Dance would be thematically fitting as well.
4.What additional typing Politoed can have?
Psychic, Fighting, Ground and Normal would be the obvious options.