Its looking very good so far.
The wood lifting is to be expected when you remove the paint, as the moisture level in the air is now able to get at it. The older game wood surface condition drys out and becomes more brittle after many decades. I usually use 'Half time' or 'Bondo' to smear on some more filler and keep sanding to I am happy with the cabinet surface. It takes me a good weekend prep before I am usually happy. Others maybe happy in half that time or double that time, its what we want to see in another decade time.
Point is the base wood preparation is the key to future longevity and needs to be your best shot before you add the final paint.