Re: Mystery objects on Captain Picard's Desk?
I believe these are the short message devices that Beverly and Jean-Luc are using to send each other some juicy SMS all the time.
"Ooooh, Jean-Luc, I miss you soooo much... how about another "medical lesson" huh? when can you come by to sickbay today to grab and take me???!!"
Or she sends him a more discreet, "Time for your prostate exam."
Dr. Howard, Dr. Fine, Dr. Howard: For duty and humanity! --Men in Black (1934)