4 days post op BA, are boxy, pointy boobs normal? Is it likely they will round out?

Your concerns are understandable. Your plastic surgeon, knowing the details  of your situation, will be your best resource when it comes to good assessment, advice, and/or meaningful predictions/reassurance.
Generally speaking, breast implants will "drop" into the pocket that was created during surgery. The rate of breast implant "settling" may depend on factors such as size of breast implant pocket dissected, tightness of the overlying skin/muscle layers, and size of breast implant utilized. Normally, it takes about 3-6 months (for some patients longer) to see the final result. It is very common for one side to settle faster than the other.
Similarly, it takes a few months for the breasts to "soften" in most cases.  Most of my patients tell me that their breast implants feel "part of them" somewhere between 3 to 6 months after surgery was performed.  As the breast implants "settle", the lower breast poles will round out (generally improving shape), and the nipple/areola complexes will seem to sit higher on each breast mound.
Many of my patients report that as the swelling around the breast implants (for example, in the sternal area) decreases, they feel that their breasts appear more projecting. Also, in my opinion, the "drop and fluff” phenomenon does hold some validity; as breast implants “settle”, many patients feel that their breasts actually look larger. 
 There is definitely a physiologic and "psychological" (body image)  adaptation process that occurs, at differing rates for every patient, for patients who undergo any type of aesthetic surgery, including breast  augmentation surgery.  Understandably, patients often experience significant emotional "ups and downs" around the time of surgery.
 
In other words: time, patience, and close followup with your plastic surgeon are your "best friends" here. Best wishes for an outcome that you will be very pleased with longer-term.
 
 

At 4 days post op, you are very early in your healing process. It can take anywhere from several weeks to several months for the breasts to fully settle so it is far too early to evaluate your results. This distance between your breasts is determined primarily by your natural anatomy so they are unlikely to get closer together. It is likely that you are still dealing with some post-procedure swelling as well. All of these things play a role in the overall appearance of your breasts, I would recommend giving yourself some time to heal and reevaluate your results in a few weeks. Best of luck!

Hello,
Depending on the type and shape of implants your natural breast shape will be modified. If your breasts were naturally "pointy", they will be enhanced as such to varying degrees depending on the type of implant used. Higher projection implants will exaggerate this characteristic more than lower projection styles. These are nuances that I review with each patient before surgery to ensure their desired look is best achieved.
You will appreciate your final results in a few months when the swelling has resolved and the implants have settled into their pocket.
Warm regards,
Dr. Pedy Ganchi                                                                                                                                  Village Plastic Surgery