Refusal to give full refund of flight booked with them after refusal to board flight by Emirates without valid reason

Emirates Airline refused me to board an airline to Dublin and canceled my departure flight stating reason that Immigration does not accept me.I asked which reasons as I produced all required documents. They got rude and told me and never gave any reason, instead told me they can't help me and need to assist other clients.They said they canceling my flight and I should contact my agency SA TravelWings for refund. Travel Wings does not want to help and moving me from pillar to post.

I followed with Immigration and they said it's airline sole responsibility to allow me to board and not theirs.Followed with travel agency and want to penalize my refund stating Emirates telephonic discussion says reason is no show whereas I was there 6 hours before departure and airline refused me to board.Secondly they do not want to help with return flight which is still active.I cannot use this ticket as I could not board the departure flight due to denial by Emirates. This was supposed to be for my birthday celebration and I feel so inconvenienced and incurred unnecessary costs for activities planned because of actions of both airline and travel agency SA Travel Wings that are not getting on board to help. Some of their staff asked for coldrinks to let me be approved to board and from Travel Wings whatsapp contact interaction was asked if I was willing to pay for them yo sort issue with embassy. Am so confused if this whole ordeal of being denied to travel was about me paying bribe which is something against my principles.