Shipping is sent via USPS and calculated based on your address and the weight of the order.  The shipping cost and total will be provided to you prior to payment.

I currently only sell replacement parts for square-1s. They can cost between $5-10 depending on the mods applied to the piece.

It depends on the cube and which pieces are dyed. Internal dye on a split-piece designed cube will not, but capped piece cubes will, as they tend to lose color at the corners where the lube dries the quickest. The main measure you can take to prevent the dye from fading is to regularly lube your cube in those areas. This is the same for all dyed cubes no matter where you order them from.