All of the cards probably won't come out of the deck
If you fail to draw the chosen number, the remaining number of cards fly from the deck on their own and take effect all at once.
If you declare three, and you only draw one, then after an hour the other two cards come out of the deck and take effect immediately. (The text does not specifically state "the whole deck," so this reading of that description makes the most sense to me).
That doesn't completely solve the conundrum you've asked about. The DM will need to make a ruling on which card takes effect first, but the description suggests that you aren't drawing the cards at this point: they are being drawn for you by the magic of the deck. Let's call that "autodraw."
That reading of the text avoids the 'draw no more cards' conundrum but could lead to some other "how does this work?" questions for the DM to resolve.
Example:
First card: Jester (yay, XP for you)
Fail to draw, one hour later ...
Second Card (autodraw): Donjon (you are trapped!)
Third Card (autodraw): The Fates (you can undo Donjon, lucky you)
or
Third Card: Balance (you are trapped and you change alignment).
or
Third Card: Knight (The DM may rule that he appears wherever you are trapped, so maybe he can help you get out).
What suspended animation means, for this result, isn't explicitly spelled out but we can get an idea from the Astral Projection spell description:
the material body you leave behind is unconscious and in a state of suspended animation; it doesn’t need food or air and doesn’t age. Sequester says "Time ceases to flow for it, and it doesn't grow older."
Which applies? DM ruling needed here.