It typically takes Botox 5-7 days to become fully operational. Dysport is another botulinum toxin with a more rapid reaction taking 2-4 days to become fully operational, so you may want to inquire with your physician about this. At this time, as long as you aren't encountering any adverse effects, you are fine. If after a couple weeks you still do not see the Botox effects, contact your physician.
The swelling was most likely from a hematoma or seroma, and the development of this would depend on the timing of when you had your operation. You need to be evaluated by your surgeon as soon as possible. As far as driving, this should have no significant impact.
Even though you tend to dissolve sutures more quickly, you will still be able to proceed with your breast augmentation. Just consult with your surgeon and bring it to attention that you require longer lasting dissolving sutures to be used. This is a better alternative compared to a more permanent suture that would have to be removed. You should recover normally.
To answer your question, the possibility of lowering your scar would ultimately depend on the excess skin available to excise. If there is adequate skin for excision, it is possible to lower the scar to a more cosmetically pleasing position. I recommend consulting with your surgeon regarding your concerns.
Based on your description and post operative status, you currently have nothing to worry about regarding your recent procedure. Once the capsule fully develops, the interface between the implant and the capsule will slide much smoother. Continue with your post operative care as instructed by your surgeon and the noise should resolve.