I'm not sure about the first pearl. It could be a Tahitian but I've also had dyed freshwaters that looked like that.
The second pearl looks like an Edison.
Immediate impression, confirmed on closer inspection: dyed freshwater pearls. The appearance of the blemishes, the general appearance of the luster and surface, and a bit of oil-slick color all point to fwp.
Some terminology may help you.
Real pearls are either cultured (farmed pearls) or natural (wild pearls, rare and very expensive, created in nature by mollusks without any human intervention.)
The pearl market has been a cultured pearl market for the past century.
Imitation (fake) pearls are...
Yours are cultured akoya pearls. (Cultured pearls are real pearls.)
The ones on the right...I'm inclined to think they are cultured Chinese freshwater pearls, based on shapes. Would that be a deal breaker, if they were not Japanese akoyas?