sS ome people therefore think that government should pay university fees for students who study subjects that are needed byfor the society
... Start sentences with capital letters. It's a healthy habit even during practice sessions. :)
Government will pay fees of particular subjects
... The topic leave this fact as an argument and I think you also should maintain that . This sounds as if government pays such fees... However, the topic talks about should this happen or not!
,if the government pays the fees
government pays/ governments pay
If this is for IELTS or TOEFL purpose, you need to support your reasons with specific examples... Here you dont have them
The topic too is a pretty vague one... :)