Without a face to face examination, it is hard to say what would be best in your specific situation. The question implies that there are 2 problems. The first is skin laxity with jowls beginning to form and skin surface changes from aging and sun exposure. There are a number of possible treatment modalities for each.
For marked or severe laxity traditional facelift surgery with skin removal is the most reliable. For more minor laxity your options are fractional lasers or radiofrequency like Thermage. These will likely require more than one treatment.
To treat the skin surface your options are laser resurfacing or chemical peels. Within each of those categories again there are multiple choices. Traditional facelift surgery with skin removal does nothing to these surface problems.
Just from a question and answer format such as this you cannot pick the best option. The best option is dependent on your specifics which can only be known after a face to face examination and your chosen doctor's experience, training and skill set. It is quite possible you could get the same good result from 2 different doctors using different modalities.
Whatever modality you employ in the end make sure to have the results last as long as possible. Maintain the result by always wearing sunscreen. That will also prevent skin cancer as an added benefit.