The Shroud of Turin is believed to be the cloth that covered Jesus when he was buried after his crucifixion.

Pros

• Stitching pattern of cloth: The stitching is similar to the hem of a cloth found in Tombs of the Jewish Fortress of Masada.
• The burial is consistent with Ancient Jewish burial customs in all respects, including the use of cave tombs, attitude of the body, and types of burial cloths.
• The blood on the Shroud is real, human male blood of the type AB. This blood type is rare the frequency varying from one region to another.
• Many people have studied the match between the Words, Weapons and Wounds, and agree that the words of the New Testament regarding the Passion clearly match the wounds depicted on the Shroud, and that these wounds are consistent with the weapons used by ancient Roman soldiers in Crucifixion.
• http://www.newgeology.us/presentation24.html
• http://www.religionfacts.com/shroud-turin

Cons

• "Blood Stains" are painted, all microscopic, chemical, biological and instrumental tests for blood.
• The Shroud is one cloth, but in the bible (Matthew 27:59, Mark 15:46, Luke 23:53), it's also significant that other "cloths" were used to wrap his body.
• Jesus' body was supposed to be washed and cleaned, due to burial traditions in other crucifixions, yet blood stains were on the cloth.
• In the 1980s, Carbon 14 dating, which measures the rate at which different isotopes of the carbon atoms decay, suggested the relic was made between 1260 AD and 1390 AD.
• http://www.csicop.org/specialarticles/show/fake_turin_shroud_deceives_national_geographic_author
• https://www.christiancourier.com/articles/1092-is-the-shroud-of-turin-real-or-fake

I think it's not real because, they have tests that say some of the blood on the cloth is just paint, Jesus' body was supposed to be washed after he was crucified, therefore, there shouldn't have been any blood on the cloth, and The shroud is only one cloth but supposedly Jesus was buried with multiple cloths.