You should check with your surgeon as only your surgeon would know the exact procedure performed and your medical history.
It's always best to check with your surgeon's protocol. I tell my patients that it is okay to transfer their children, beginning the third day after surgery, to high chairs, car seats, and cribs. By the end of the second week, they usually should be comfortable enough to carry their children all day if desired. I would say no problem cuddling at this time. Snuggle away. For more information on this and similar topics I recommend a plastic surgery Q&A book like "The Scoop On Breasts: A Plastic Surgeon Busts the Myths."
Congratulations on having undergone the breast augmentation procedure. It is likely, that you can have your child rest her head on your chest at this point. This is assuming, of course, that she is not a "head bonker"; I have had patients have their children "bonk" there heads against their mother's breasts (on other words, proceed with caution). Best wishes for an outcome that you will be very pleased with.
Thank you for your question. The small amount of pressure from your daughter's head is probably not a problem for your breasts, however the one-sided swelling that you mention should be evaluated by your Plastic Surgeon. I recommend that you share your concerns with them. All the best