Are there rules governing the mass production and sale of country of origin stickers?

Yes, and they vary by product. The FTC covers some products and the USDA regulates food. I assume the FDA administers rules for drugs.

A couple of links:

FTC
U.S. content must be disclosed on automobiles and textile, wool, and fur products. There’s no law that requires most other products sold in the U.S. to be marked or labeled Made in USA or have any other disclosure about their amount of U.S. content. However, manufacturers and marketers who choose to make claims about the amount of U.S. content in their products must comply with the FTC’s Made in USA policy.
http://www.ftc.gov/bcp/edu/pubs/business/adv/bus03.shtm

USDA
Country of Origin Labeling is a labeling law that requires retailers, such as full-line grocery stores, supermarkets, and club warehouse stores, notify their customers with information regarding the source of certain foods. Food products, (covered commodities) contained in the law include muscle cut and ground meats: beef, veal, pork, lamb, goat, and chicken; wild and farm-raised fish and shellfish; fresh and frozen fruits and vegetables; peanuts, pecans, and macadamia nuts; and ginseng.
http://www.ams.usda.gov/AMSv1.0/cool

@jaytkay thanks for the attempt, but unless I am missing something, you missed the mark of the question. I wanted to know if there are rules governing making and selling the stickers themselves.

@Ltryptophan lol now I get it. Like what if your “Made in USA” tags are made in China? Do they need a tiny “Made in China” tag?

Well that might be an aspect of what I’m asking. More importantly can they make them for us, or can we make them for them?