If you use hollow wall anchors as suggested you will need to drill out the holes in the bracket to accept the larger screw size.
You can set them with a claw hammer and spread load with flat piece of timber.
The screw in plasterboard plug you struggle with are only for plasterboard on studs as they require a large cavity behind ( far more than you get with dot and dab).
They are not ideal for load in the ceiling much beyond a light fitting as they are intended for walls with load at 90 degrees to plug.
You can set them with a claw hammer and spread load with flat piece of timber.
The screw in plasterboard plug you struggle with are only for plasterboard on studs as they require a large cavity behind ( far more than you get with dot and dab).
They are not ideal for load in the ceiling much beyond a light fitting as they are intended for walls with load at 90 degrees to plug.