General comment about GND planes: don't split the GND planes, have one, continuous ground plane for both digital and analog. The practice of doing what you did here in an attempt to get a star GND is not very helpful, and only improves the situation if the layout is already screwed up. It's out-dated, and while datasheets talk about doing that, it makes it worse in general. Instead, make sure all the digital traces (that run over the same GND plane as analog stuff), are physically separated laterally from analog path. Either directly terminate the shield at this one GND plane, or, if you are worried about circulating DC-current, AC-couple it to GND plane via a cap.
Do filter AVDD just like you did, since the AVDD rejection is less than DVDD rejection by a solid 30-40dB in this chip. Depending on the frequency content of the power rail you may want more, or less filtering. Layer 2 seems to be not GND also, make that GND and use L3 or bottom layers for the power planes, so you have a solid reference plane for everything. With that in mind you should get a good 16-18 bits ENOB given the signals use a reasonable dynamic range of ADC.
Edit: I mis-read your layer stackup and it seems that your ADC GND is same as digital, so all good there. You are missing AVDD filtering though, and only have it on the reference rail. I would reference the uh, VREFN rail to the one GND as well instead of putting it through the RC filter.