On your first trip to Puerto Rico, drive the Jeep to the house of the herder's brother (right side star). He says some fur on the fence is from the chupacabra. Take it back to run a DNA test, but it turns out to be from a wild dog.
You get the fur from a fence in Puerto Rico. Back at the lab, you run a DNA test, but it turns out to be ordinary coyote fur.
Not really
You don't. The only fur is the possible chupacabra fur on the fence at Puerto Rico. All you get from your trip to the Himalayas is a lantern and a photo of a footprint in the snow.
Yes, you can find proof of The Jersey Devil, Bigfoot, Nessie, and the Chupacabra. (see related question)
You can't. But its tooth is proof enough that it is an unknown species.
Take it back to Mews. Once you have gotten the photo of the Yeti footprint, and proved the other three cryptids (Nessie, chupacabra, and the Jersey Devil), Mews will send you to track down Bigfoot.
Go back to Puerto Rico, where the herder is planning to catch the chupacabra with a crate and some chains. Drive to Snaggletooth Rock (center star) and herd the three spotted goats into the grassy area with the jeep. They will lure the chupacabra. Get out and join the herder as you wait for the creature.
There do not appear to be any sheep anywhere on Cryptids Island. There are many goats at the Puerto Rico location, and part of the plan to catch the chupacabra involves using them as bait. After first testing the fur from the barbed wire fence, return to Puerto Rico to use the jeep to corral the three spotted goats at Snaggletooth Rock.
On your first trip to Puerto Rico, drive the jeep to the other locations. At the upper left, there are Bolt Cutters on the top of the hill. At the right side star, the brother's farm, he says some fur on his fence may be from the chupacabra. Take the fur back to Mews for testing.
You have to look for Bigfoot/Yeti in the Himalayas, the Jersey Devil in New Jersey, the Loch Ness Monster in the Loch Ness in Scotland and the Chupacabra in Puerto Rico.
In Puerto Rico, the goat herder's brother has a chicken farm, at the right hand star on the jeep map. There is some fur on the barbed wire fence. Collect it and analyze the DNA at the Mews lab. (Unfortunately it is from a coyote. Return to Puerto Rico and talk to the herder and his brother. You can help catch the chupacabra at Snaggletooth Rock - center star on the map.)
Collect the fur from the fence at the farm of the herder's brother (right side star) at Puerto Rico. Take it back to show to Mews. Follow the steps on the DNA testing carefully. Unfortunately, the fur is from a coyote. Go back to Puerto Rico, where the herder is going after the chupacabra himself.