I wonder if the parts came from a Gulf Aviation/Kalinga Airlines DC3 inbound from Doha, which crashed somewhere east of Sharjah on 7th July 1960. The wreckage was not found until several years later. Maybe a traveller came across it earlier, picked up some some small bits of wreckage, thought better of it and discarded them nearer the coast.
ASN Aircraft accident Douglas C-47-DL VT-DGS Sharjah