A C&R license is NOT valid for engaging in the firearms trade. The BATFE is very clear on this and the license is only for hobbiests to buy and sell in pursuit of their own collections. Having said that; When you sell a firearm that's been previously logged in as a purchase under your license you are obligated too log the sale into your records as a disposition including the name address etc. of the buyer. You of course are not required to do a background check on the buyer. I'm sure others will have additional points to add here.
Jim