I think the 2D analysis has huge problems. The 3D wing will be too short to properly represent the ideal case, and it will also strongly interact with other bodywork elements.
When i try a new front wing and don't have the time to test the whole car (which is otherwise highly recommended), i make a simplified version of the 3D wing: a short extrusion (about as wide as the actual thing) placed at the right height from the ground, a simple endplate and the entire front wheel. I would not simplify further.
As for the rear wing, i make and test the actual complete rear wing with endplate, just without the rest of the car.
And still, you might experience big variations between these simplified cases and the whole car test, such that what performed best in the simplified cases could become one of the worst candidates for the actual car.
As for what airfoils to choose, i'd say don't do that. Just think about what shape the entire wing is supposed to have, then break it into as many sections as flaps you intend to use and, finally, design bespoke flaps.
Designing and coupling airfoils on your own requires an algorithm, a reliable method, and also some intuition and experience (which you can build up in the process anyway). If you think you can do it, it's worth doing it.