Does eating beef jerky every day lead to throat or esophageal cancer?

Depends. Esophageal cancer is caused by a number of factors. Eating smoked or cured meats has been shown to be a risk factor for developing esophageal cancer in many studies. Other risk factors include smoking, alcohol use and chronic acid reflux from the stomach. So i would encourage you to find a new favorite food. :).
Unlikely. Beef jerky, if spiced, may have carcinogens within the dried meat that could, with long term use, be a factor in esophageal cancer development. However, the amount consumed and the length of time would most likely not be met by a person in their lifetime to induce a cancer.