From the sound of it, I don't think the OP has actually been offloaded but just enquiring as to what compensation would apply if it did happen.
AFAIK (others may say otherwise) there are no 'standard' rules for flights out of DXB. (those EU regulations referenced only apply for flights originating WITHIN the EU, not going TO an EU country). And so any compensation would be assessed on the individual circumstances, including length of delay in onward travel, class booked etc etc
All that said, I am not convinced that there will necessarily be a spate of offloads just because of Easter. Airlines are generally pretty good at managing loads at known busy periods, and use historic trends to plan ahead. Likewise at Christmas when you actually hear of fewer offloads than at other 'normal' times - not least because most respectable carriers are conscious of the distress and bad publicity it can cause. Ironically, I think offloads are more likely when least expected - when, say, they just happen to get caught out by an unusually busy day.