The only thing required on your 4457 is your rifle, make model and serial number, possibly scope if you’d like. It’s treated as a US firearm license outside the country so don’t list additional items on it. For US customs the 4457 is just a declaration you owned the items before leaving US and didn’t buy outside the country. I’ve never listed binoculars, rangefinder, or anything else but if you feel the need list it, list them on a separate form. I’ve never flown through Amsterdam, so I can’t comment. Flying through Paris isn’t a problem with firearms. Just notify airline on your reservation you have a firearm and have several copies of Air France firearm declaration printed with you. Every Air France flight you board declare to the gate agent you have a firearm on flight and give them form. I’d recommend you pay for a pre-approved permit in South Africa. Rifle permits can help you or if you will be staying the night in Johannesburg Africa Sky or Afton can help. Until you know what you’re doing (and even after) a good hunting travel agent is well worth their fee. Hopefully it all goes smoothly for you. You might consider asking what’s available for rental rifles and just avoid the stress since your flights are already booked, especially if coming back through JFK.