I would follow your plastic surgeon's recommendations and see what seems to be the best for you. With that said, I personally think that being alone to recover after a mommy makeover is not a good idea even in the second week.
First, a 1-week stay at a recovery center is a great idea since nurses who are familiar with mommy makeover surgery can take care of you and teach you important things about how to recover properly. But, recovering in a hotel room alone after that, is something I personally would not recommend to my patients. First, a hotel room has limited space for you to move around in and walking after surgery is so very important to avoid complications like clots in the legs and lungs which can be potentially dangerous. Also, if you need help, you will be among hotel staff who are absolutely unfamiliar with your needs.
At least 2 weeks of proper recovery after a mommy makeover is so very important to avoiding complications. I would try to arrange for a nurse to take care of you during the second week or at least a family member or friend to be around to help you in case you need it.
Furthermore, traveling through airports on an airplane through the security checks and a 5-hour flight just 2 weeks after a mommy makeover is doable but I don't know if doing it alone is a great idea. Having a person there to carry your things and helping you would be so much better and easier on you.
Remember, plastic surgery is something that you do to make yourself look and feel better. It is elective surgery. So, the stakes are higher than any other surgery. Everything has to go just right and perfectly. So, you want to make sure that you recover properly and safely.