Lol dude, JW believe only 144,000 people go to heaven why they going to care about your pet? Or Better yet why you going to worry about your pet when you are 99% not going. Better question is are pets allowed after the resurrection a.k.a. earth 2.0 which the answer is probably yes.
"The wolf shall dwell with the lamb, and the leopard shall lie down with the young goat, and the calf and the lion and the fattened calf together; and a little child shall lead them. The cow and the bear shall graze; their young shall lie down together; and the lion shall eat straw like the ox. The nursing child shall play over the hole of the cobra, and the weaned child shall put his hand on the adder's den. They shall not hurt or destroy in all my holy mountain; for the earth shall be full of the knowledge of the Lord as the waters cover the sea."

"And all flesh shall see the salvation of God.’”

"The wolf and the lamb shall graze together; the lion shall eat straw like the ox, and dust shall be the serpent's food. They shall not hurt or destroy in all my holy mountain,” says the Lord."

"And God made the beasts of the earth according to their kinds and the livestock according to their kinds, and everything that creeps on the ground according to its kind. And God saw that it was good."

"And God said, “Let the earth bring forth living creatures according to their kinds—livestock and creeping things and beasts of the earth according to their kinds.” And it was so."

"They will build houses and dwell in them; they will plant vineyards and eat their fruit."