# Haman recounted to them the splendor of his riches

"Haman told them about how great his wealth was" or "Haman told them about the many great things he owned" 

# all the promotions by which the king honored him

"How the king had promoted him many times and honored him" or "how the king had honored him many times by giving him more important work" 

# how he had advanced above all the officials and the servants of the king

"how he had become more important than all the officials and the servants of the king"