My suspicion would also be with the capacitors. The place shown on the PCB is an area of high stress, that should be avoided by MLCCs. Not as bad as the position of the inductors, but still a poor placement.
The caps are likely for EMI reasons. Hard to tell why on that side of the switch. With a large capacitor the surge current on switch on may be a reason to have the capacitor before the switch, but not really with those small ones.
Star grounding is good practive for low frequency precision. However repeated branching off from the ground is a bit odd and not good practive, more like a compromise needed. There should be 1 true star ground and than all critical traces going from there and one branch may be shared for the non critical parts. There may still be a few more star points for other signals, though usually not that many lines leaving there.