Hi Jennalee.
Thank you for posting your questions and photos.
I'm not sure what a "mini-lift" is in the arena of aesthetic breast surgery. I'm sure that if it is a known and proven technique, it would be identified in plastic surgery literature. There are however, different techniques that can be employed in breast lifts, including the variation in placement of the scar. Breast lift scars range from around the areola alone, and can extend to involve a vertical limb down the centre of the breast, and finally a horizontal limb across the breast crease.  
The most striking point I note from your photos is your pre-existing asymmetry. If you place an implant alone in both breasts, it is likely that you will still have some degree of asymmetry after surgery. The ptosis (droop) on the left side is worst and, even if you were able to achieve a reasonable result with a large anatomical implant, the left breast is at risk of earlier ptosis. A lift is a tradeoff between achieving good breast shape and a scar. It may be plausible to consider augmentation alone first and, in the future, if the degree of asymmetry or early ptosis bothers you, a lift can be considered at that time. 
I hope this information has helped.
Warm regards,
Dr Ray Goh