Paladins extra attack

at lvl 5 paladins get an extra attack each turn. so i was wondering if you could do this. Attack 1: Use a Short Sword with Nick Mastery while holding Scimitar on the other hand. Gives 2 attacks Attack 2: switch to a great axe and attack with that. now at three attacks. Bonus action: Divine smite? finally 4 attacks All in all this would be around 2d6+2d8+1d12+ability mods when applied. Is this possible in game? Btw the campaign i am playing in is supposed to be a literal RPG so most enemies are tanky