Welcome to the forum. Your mark looks like this one which was found on the U S Patent and Trademark Office site:
It is a trademark for gold and silver chains with the listed registrant being BALESTRA, MARIO INDIVIDUAL ITALY G. BALESTRA & FIGLI, VIA MARINONI 5/A BASSANO DEL GRAPPA ITALY. The first use of the mark in commerce was given as 1968, and the mark was registered in 1976.
The 1AJ may be the company that made jewelers findings for the bracelet. The 585 probably indicates 14K Gold. Maybe somebody with a background in jewelry made in Italy will be able to shed some more light on these other markings.