You are not alone, I know some else who got banned, but they were selling on ebay, they got the note and all that and now she is talking to her attorney to write a "friendly letter".
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actually sprinkles it happens way more then you'd think.
I will just jump on in here and be unpopular, so here goes...
From what you described, it sounds as if in Coach's mind, that you are reselling items--Coach has a strict policy about resellers, and anyone caught selling stuff for more than they paid for in the stores can be cut off (I don't know whether or not you did this, but this is definitely their policy). Also, once a matter goes to Corporate and they send you a cease and desist letter, no one other than a Corporate representative will speak with you about the matter. I believe that this is to protect lower-level company employees from becoming involved in any pending litigation. From what I know of the company, if Cynthia Linke is talking to you, the matter is probably pretty serious, as she is their lead Loss Prevention person for Coach Corporate, as I understand it. Once the matter is at her level, she is probably the only one left to speak with.
Kinda OT, but I was shopping at Coach one day and a lady literally bought 3 of everything in the store and asked me and my friend if we wanted the things we were carrying tooush: It was pretty obvious she was a reseller (but then again maybe she had another reason for it?), but everyone was sooo nice to her in the store. The manager was basically tripping over her own feet to get this lady everything she wanted. And later one of the SAs told me that she came in here often and did this and they all loved her so I was a little puzzled bc I thought they discouraged resellers.