what did they use for writing?
Bronzewares, animal bones, and bamboo slips or wooden boards.
Han dynasty
In the 1st millennium BC, typical ancient Chinese writing materials were bronzewares, animal bones, and bamboo slips or wooden boards. By the beginning of the Han dynasty, the chief writing materials were clay tablets, silk cloth, hemp paper, and rolled scrolls made from bamboo strips sewn together with hempen string; these were passed through drilled holes and secured with clay stamps.

The oldest known Chinese piece of hempen paper dates to the 2nd century BC. The standard papermaking process was invented by Cai Lun (AD 50–121) in 105. The oldest known surviving piece of paper with writing on it was found in the ruins of a Han watchtower that had been abandoned in AD 110, in Inner Mongolia.
who was valued in han society under the philosophy of confucianism Emperor Gaozu of Han. can you mention few names of people of the royal family? Emperor Zhao (r. 87–74 BCE) , Emperor Yuan (r. 48–33 BCE)  Emperor Cheng (33–7 BCE) ,  Emperor He (r. 88–105 CE) ,  Emperor Shun (r. 125–144 CE) , Emperor Ling (r. 168–189 CE). was there slavery in this dynasty? Yes, Slaves comprised roughly 1% of the population. who was the founder of this dynasty? Liu Bang. what religion did people follow in this dynasty? They formed large hierarchical religious societies called the Way of the Five Pecks of Rice. did they have their own army? Yes, every male commoner aged twenty-three was liable for conscription into the military. have they contributed anything in science and technological field? The Han dynasty was a period of development of premodern Chinese science and technology, comparable to the level of scientific and technological growth
wiki:11581995
Han dynasty [SEP] Writing materials
In the 1st millennium BC, typical ancient Chinese writing materials were bronzewares, animal bones, and bamboo slips or wooden boards. By the beginning of the Han dynasty, the chief writing materials were clay tablets, silk cloth, hemp paper, and rolled scrolls made from bamboo strips sewn together with hempen string; these were passed through drilled holes and secured with clay stamps. The oldest known Chinese piece of hempen paper dates to the 2nd century BC. The standard papermaking process was invented by Cai Lun (AD 50–121) in 105. The oldest known surviving piece of paper with writing on it was found in the ruins of a Han watchtower that had been abandoned in AD 110, in Inner Mongolia.