I'm not sure if this is an oversight, a bug or intended but there is no way to use the warlock spell slot over a paladin one to smite when you multi-class with paladin/warlock. When you finally run out of paladin slots but still have warlock slots left the window will show you a red square(no spell slots left) but will allow you to click on it and spend the warlock slots.
This is not ideal since I want to use the warlock slots first because they come back on short rests. Perhaps there should be an option to use either paladin or warlock slots in the reaction window or add a toggle in the reaction settings to use warlock slots first. The major point of going paladin/warlock for me is to be able to use those short rest slots first especially because my friends are all short rest classes except me.