You can catch Arceus with an Ultra Ball. There is no limit to what Pokemon you can catch with what Pokeball you can use. However Legendary Pokemon such as Arceus have very low catch-rates and will take a lot of time to catch and can take over a dozen Pokeballs. Using the move False Swipe and putting the Legendary Pokemon to Sleep is a common method of raising the catch-rate as much as possible to improve chances of a Pokeball catching them.
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Arceus has a catch rate of 3, so you need LOTS of Ultra Balls. If you have a Master Ball, you can easily catch it. He is ridiculous, because it takes so long to catch him! I recommend master balls!
Yes. It is completely possible to catch Mewtwo with an ultra ball.
no
You don't need to have caught any pokemon. All you need is the event or the action replay code to make the event. Then go catch Arceus. You should probably use a master ball or ultra or timer balls.
No pokebal are guarantied to catch arceus or any other pokemons except the masterball. If you are going to catch an arceus you should buy a lot of regular pokeballs, great balls, ultra balls, and switch between using them.