Final answer:
The major problems that the Jamestown settlers faced included lack of food, disease, conflicts with Native Americans, and ineffective leadership. However, the colony was not completely destroyed due to factors such as new supplies and settlers, profitable tobacco cultivation, and improved governance.
Step-by-step explanation:
The major problems the Jamestown settlers encountered, as described by George Percy, included lack of food, harsh living conditions, disease, conflicts with Native Americans, and ineffective leadership. These challenges led to a high mortality rate among the settlers. However, the colony was not completely destroyed due to several factors, such as the arrival of new supplies and settlers, the discovery of profitable tobacco cultivation, and the establishment of better governance through the leadership of John Smith.