You are going to find that most screen protectors interfere with stylus interaction with the iPad screen, even third party smart Bluetooth stylus that allow for palm rejection may not work as well as they should with an added barrier on the iPad’s screen.
For a quality and well designed and thought out stylus for your iPad AIR 2,
I use an Adonit Pixel stylus with my iPad and I think it works fantastic with all of the compatible apps!
It’s the ONLY third party, smart Bluetooth stylus that I can, honestly, recommend that actually works well with all of the compatible iPad models.
The Bluetooth connection is stable and its Bluetooth pressure sensing technology is very smooth, natural feeling and has consistent line drawing ability.
Plus it's a quality made, aluminum stylus with two programmable buttons.
I have been using this stylus for over two years and it is really good on my iPad.
This stylus still has been working wonderfully for me for all of this time.
The Adonit Pixel is works with many iPad/iPhone models.
Has shortcut buttons.
Has a nice fine, textured pen tip AND a nice rubber grip.
Magnetically charges, has an auto 15 minute shutdown feature, charges in a hour.
I find it only lasts for about 12-14 hours, but Adonit claims up to 15-16 hours of continuous use on a charge cycle.
Made of very high quality aluminum materials.
Has an auto shutoff feature to preserve battery life.
Works with about a dozen of the major/popular drawing/sketching/painting apps (the Pixel/Pixel Pro works with, but currently not “officially” supported with Procreate, but it still works and works pretty well in Procreate ), and about a half dozen of the popular note taking apps, a half dozen writing apps and about a half dozen PDF style/compatible apps.
Here’s my (incomplete) list of Adonit Pixel compatible apps for the iPad.
Tayasui Sketches/Sketches Pro
Pixelmator (used to support Adonit, I have an older version that did, not sure about their latest version)
QuickNotes X Pro
You will need to setup the Adonit pen settings for each app in this list, but once the initial setup is fine tuned and complete, the app should remember the correct settings.
If interested, to make sure you get the latest installed firmware, order one of these directly from the Adonit website.
Good Luck to You!