this is my understanding but I have no doubt there are people more knowledgable.
the airline can set when a load report is triggered, but it starts (I only know airbus 320 not 321) at around 1.7g for a heavy aircraft anything after 2 g and its serious. there are various grades of inspection, an amber load report say at 1.7 on a light aircraft will just require an external check, the next level up needs the gear doors opened so its a bit more of an inspection and 2g its going into the hangar and the pilot is having tea without biscuits. then there is lateral load this can normally be triggered by not kicking off the drift in the flare and straightening the aircraft out once on the roll - bad, very bad and imo poor airmanship because if you can't straighten it before the touchdown you should be baulking the landing. in terms of item 3 not I don't think so however if you look at a load report one of the parameters is the pitch and the max pitch input.