Is a circumareolar lift necessary for you to achieve a "perky" breast? The short answer is no, but your situation is not completely straightforward. Your pictures indicate that you have a mild variation of a "tubular" breast shape. Which for you means that the base of your breast is somewhat narrow, the lower part of your breast in underdeveloped, and your overall breast shape is somewhat pointy or torpedo like. Also, your areolas are large relative to your breast size, the areolas are different sizes, and your breasts overall are different in size.
So, how do you get a nice "perky" breast? An implant alone can get you a pretty good breast shape with some internal scoring or release of the lower pole. Given the apparent different breast size, corresponding different implant sizes could make you more symmetric. Another consideration might be a saline rather than gel implant as we will be relying somewhat on the implant to stretch out the lower portion of your breast. Saline implants do a much better job of modifying your breast shape, whereas gel implants tend to be shaped by your breast.
Then you have the issue of enlarged and assymetric areolas. Your particular breast shape is well suited to a circumareolar mastopexy. This type of mastopexy can reduce your areolar size and improve the assymetry however, this comes at the expense of a scar around your areola and you have to decide if it is worth the extra scars. This type of breast lift does tend to flatten your breast somewhat, however that works fine for your particular breast shape. A crescent mastopexy would not address your assymetry and just results in an unnatural scar with an elongated areolar shape. The scar from the mole removal has little predictive value for your breast scars. Your surgeon should be able to discuss these various considerations with you and together you can arrive at a balanced approach for your situation.
So your situation is somewhat complicated and ultimately requires various trade-offs in deciding what procedure, or combination of procedures, works well for you.