Shipping a firearm back to manufacturer for warranty work - questions?

[Little Dutch]

I've shipped guns before after online sales through GB but I've never shipped a firearm back to a manufacturer for a warranty repair, so I have questions for those more knowledgeable.

1. The manufacturer sent me a RMA (Return Material Authorization) and a FedEx shipping label. I do have the original box the rifle came in. My question is, since I am supposed to ship it without any outside writing indicating that it is a firearm, am I required to put the boxed rifle into ANOTHER box or would wrapping it in brown shipping paper be sufficient?

2. When I have shipped guns before to FFL's I have always included a copy of the receiving FFL in the box. My RMA is not an FFL, but since it is going to the manufacturer am I right in thinking I don't need to address it to a specific FFL?

I'm sure this happens all the time but I want to make sure I cover all my bases legally.

Thanks in advance!

I normally cram it into a fedex box, or a recycled amazon box or something similar. The Fedex return labels has always included the fedex box though.

You are correct that you do not need to do anything dealing with an FFL for an RMA.