I don't believe there will be any penguin animal package available in April... The new Antarctica attraction does not open until May 24th when i sent an email to seaworld asking about the return of the penguins up close tour, they said they did not know. Someone may have more up to date information than me though!
Even with the penguin attraction being closed though, during summer 2012 my girlfriend and I did the behind the scenes tour which included a meet and greet with a penguin and everyone got to touch it. You may want to ask if this is still done during this tour.
I hope this helps!