Do ticket prices increase the closer you get to your trip? Similar to airline tickets? For example if my trip is in April would it be cheaper to buy tickets now or the last week of March? Or is there no difference?

If your not a florida resident the price is the same pretty much all year. Unless your staying at the resort might be able to get a package deal.

There is mostly no difference, it ultimately depends more on relative closeness to holidays and high volume times of the season. I would highly recommend purchasing them sooner rather than later, but that is dependent upon the time frame of the trip.

It's not like airline tickets. The price eventually may change, but not because it's getting closer to the day you want to go.

There is literally a layout that shows you the different prices for each day

The price doesn't change that much, maybe you can be able to get discounts if you stay in the resort

No they don't change