I only want to correct you on one thing.
The Shroud of Turin IS NOT a fake.
Research has proven that carbon 14 dating does not accurately date linen.
The latest and best research has determined that the image on the Shroud was scorched on to it - no paints and no dyes. It is a three dimensional image on one side only with the scorchings to be more intense in areas that actually touched the Shroud (as opposed to an area like eye sockets.)
The scorched image is the result of a micro-burst of heat and light. The source of that micro-burst was the power of God raising His Son from the dead which was recorded incidentially upon the Shroud.