Obviously, i don't know your organization, its former structure, it's current new structure, or why the change(s) were implemented. Since you are on the inside, I'm assuming that you know these things...or at least know enough about these things to understand the reasons (financial, political, etc) behind the re-org.
For what it's worth, that is where I would begin, and that's how I would approach this task. Something is broken...what needs to be done to fix it? Again, I say this from the perspective of knowing only surface information...this may or may not be a helpful exercise.
If you are being tasked with writing up elements of a job description, then I must assume that CSM is a new role for the org. Overall, I like what you have written...sounds like my kind of a job...a hand in every piece of the pie.
However, is that a role that the organization really needs, or does it really need a CSM specifically? It is clear from what you have written that you ARE a trainer. Your training 'hat' is evident in nearly every statement. Customer Service reps and Managers rarely aid in or facilitate the induction process for all new hires (as an example).
If this is a create-a-position, then I strongly encourage you to keep on keeping on what you are doing. Kudos and good luck! Like I said, I'm loving the job descrip so far.
If this is really intended to be more specific, then I would encourage you to step back, put on ONLY a customer service hat, which could be difficult for you, and go at it again from that perspective. I would gather data, and I would present that data along with the job description.
As an example, if your customer attrition rate is 5%, what does that mean to the org's bottom line, what would you do to lower it, and what outcome would you anticipate?
Empirical and anecdotal data shows our customer attrition rate to be 5%. Exit data has revealed that our customers prefer to frequent casinos that offer multiple restaurant facilities (breakfast, lunch/dinner, buffet). With the addition of our Breakfast Nookery and Buffalo Buffet venues, the CSM role can aid in reducing customer attrition rate to 2% by:
1) Supporting the marketing effort through brief informational greetings on the phone, in person and via email and written correspondence,