In a medium sauce pan, add milk, half the sugar, and vanilla bean seeds and pod, and then simmer on low heat. Meanwhile, in a medium bowl, whisk eggs, remaining sugar, and the flour until the mixture becomes pale yellow in color.
Once milk begins to boil, remove vanilla bean pod and then pour about a third of it into the egg mixture, stirring constantly so you don't get scramble eggs. Add mixture back into the sauce pan and continue to whisk until it starts to boil. Stir in lime zest, cinnamon and the rum.
For Sponge Cake: In a stand mixer fitted with a whisk attachment, add eggs and sugar and mix on high speed for 10 minutes. Reduce to medium and mix for another 10 minutes. Remove bowl from mixer and fold in sifted flour. Carefully fold in melted butter, the lime zest and vanilla extract until incorporated (do not over mix).
Preheat oven to 350° F.
Spoon the guava jam onto the bottom of each tart shell then spoon in equal parts the pastry cream, smooth with the back of the spoon the top the jam, and then spoon cake batter on top, completely covering the pastry cream. Bake immediately for 25 to 30 minutes at this point the cake topping is going to be golden brown.