如果捆绑销售商品的话，是不是需要一个新的EAN码？

对，需要一个新的EAN码，你要创建1个新的listing。
这是Product Bundling Policy：
https://www.amazon.com/gp/help ... 3D1-1
“Bundles consist of multiple single items that can each be identified by a unique ASIN/UPC and are sold together as a single offering. ”