Some thoughts here
1. The question is not primarily linked to essential or non-essential modifiers. There are some other issue with using 'which' or 'that' here.
2. 'which' is modifying to 'term' in C while we need to modify to posts. -> so C incorrect
3. the other problem is the literal meaning of 'included vs including'.
When we say
..X., which include A, B and C -> It means X include A , B and C
[e.g. ... wines, which include water, grapes and ethyl acid. ]
X, including A, B and C -> it means that A, B, C are examples of X
[e.g. ....wines, including Blackstone, kingfisher and Korbel ]
So usage of including makes sense.
A similar discussion you can see :
https://www.beatthegmat.com/stone-age-t36393.html