Preheat oven to 325 degrees.
In the bowl of a stand mixer, add the butter, sugar, light brown sugar, oil, vanilla, and eggs. Beat on medium to high speed until it has become light and fluffy (3-4 minutes).
Add the flour, 1 ½ cups of the graham cracker crumbs, cornstarch, baking powder, and salt to the bowl with the butter. Beat again on medium speed until everything has combined.
Pour the remaining 1 cup of graham cracker crumbs into a bowl or plate, and lay out all of the 4” tins on a baking sheet.
Create ¼ cup sized balls of dough, roll each ball into the graham cracker crumbs. Place each ball into one of the 4” tart tins. Using the flat bottom of a cup or measuring cup, flatten the balls of dough into the tin, pushing deep enough to create a cavity. If you find the cup is sticking to the dough, dip the cup into some graham cracker crumbs before pressing.
Bake at 325 degrees for 12-15 minutes or until lightly golden. Remove from the oven and let cool.
While the cookies are cooling you can make the filling. Start by whipping the heavy whipping cream in a stand mixer until it has reached stiff peaks. Scrape the whipped cream into another bowl and set aside.
In the mixer bowl, add the softened whipped cream and beat on medium high speed until smooth, then while the mixer is running slowly stream in the sweetened condensed milk.
Add the lime juice to the cream cheese mixture and beat for a couple minutes on medium-high speed until smooth and creamy.
Fold the whipped cream into the filling mixture.
When the cookies have cooled, scoop the mixture into each cookie so the filling is mounded a bit on top.
Garnish with a thin wedge of lime, lime zest, and a star of whipped cream.
Serve chilled. Store in a single layer in an airtight container.