The gold and silver bars fell out of the plane after the hatch door broke during takeoff.
Trump was given "no favours" on the engagement ring, the diamond seller said.
The religious headwear is designed with over 3,500 sparkling Swarovski crystals.
The white crocodile Birkin 30 bag broke the previous record for most expensive handbag sold at auction set only last year.
Auction house Sotheby's named the jewels after the Greek twin divinities Apollo and Artemis.
The man who discovered the diamond, a Christian pastor, says it is worth $50 million.
Although synthetic, lab-made diamonds are similar in quality to natural ones.