These days 100% of the initial contact is through the internet. The stores themselves do not have applications on hand anymore and must obtain you application through their computer system. There is a questionnaire that you must complete online. You should answer this as if you are a die hard Pizza Hut employee first and foremost. You will be lying in many cases, you have to though because you cannot be hired if this score is bad. Again, always choose the best option for Pizza Hut, not yourself.
I have never seen a single person hired from multiple contacts inquiring about their application, it's generally seen as pestering and this person is seen as a risk for hire due to the likelihood of them being a difficult employee if they are hired. In any internet only application process the best action is to physically go in and speak directly to a manager after filling out the online application. Point out that you filled out an application and that you just wanted to introduce yourself. Don't be pushy because this is actually your first interview despite you initiating it, if they like you, you are more likely to get a call back.
Upon your store initiated interview the hiring manager will have their own questions, there is no standard by Pizza Hut here. Availability is always discussed at this point. Be courteous and respectful at this interview. If you are, you will likely be getting the job, they rarely interview and don't offer the position in the near future. It does happen, it's just rare.
The best time for the initial personal contact is Wed or Thurs between 1:30pm and 4pm. This is the time that has generally less going on and most likely to have the Restaurant General Manager (RGM) in the store and on duty.