Had something similar a few years back in our old place in Ipswich. Not cabinets but the airing cupboard door would swing open most nights around that time, sometimes with a proper bang. We'd close it, go back to bed, open again.
What got me was the pattern. Same time, same door, always when the house had been quiet for a couple of hours. That consistency is what separates poltergeist activity from draughts or settling timbers in my experience. Random is usually mundane. Repetitive and timed is where it gets interesting.
Worth keeping a log if you havent already. Date, exact time, temperature in the room, whether anyones been stressed recently - stress in the household does seem to correlate with this kind of activity according to a lot of the research. Anyone else got thoughts on the timing aspect? The 3am thing is reported so often I wonder if theres something to the theory about it being a kind of inversion of 3pm.