Something this large is likely best shot outside on a cloudy day as Mike mentioned. You can do it on a sunny day but you will need a reflector to soften the shadows.
You can also try turning the lights 180 degrees and reflecting the light back with large white cards or vinyl sheet (just don't melt it)
Also if you have an overhead light aimed at the backdrop right behind the shuttle it will kill nearly all of your shadows. You can try a backdrop light that is brighter than your other lights so it overexposes your backdrop so it becomes just pure white.
You could also have a look at this video: https://fstoppers.com/commercial/product-photography-tutorial-shows-how-shoot-large-objects-55863
Though it's harder to do what he does without proper studio lighting.
PS and yes, Photoshop out those wrinkles... that's the best and fastest fix. Pixelmator is great software for this. Use the Clone tool rather than erasing.