We have an entire thread dedicated to Han Dynasty siege warfare already, so I wouldn't need to say much.
That being said, those spears from the siege tower need to be fixed. Please refer to section 2). I actually prefer the more primitive Jing Lan over the Lv Gong Che, which was invented just before the fall of Yuan Dynasty.
I would like to suggest name change:
Siege Crossbow: "shou she nu (手射弩)" to "nǔ chē (弩车)" OR "lián nǔ chē (连弩车)" OR “qiáng nǔ chē (强弩车)”.
Siege Tower: "lin chong lv gong che (临冲吕公车)" to "lín chē (临车)" OR "lóng chē (隆车)"
Note: A lián nǔ in Han Dynasty context refers not to repeating crossbow but "siege crossbow that shoots rope-attached bolt". Think modern whaling harpoon cannon.
6.1) Other recorded siege weapons
(I simply list it here, it is up to the modders to decide which to use, or not using at all. Five different siege weapons is too redundant for one faction anyway.)
Battering ram "chong che (冲车)"
Armoured Carroballista "Wu Gang Qiang Nu Che (武刚强弩车)"
Three Kingdoms Period Stone-thrower "Pi Li Che (霹雳车)"
According to wolflance