You sound as if you have a great deal going on in your life. You need to take a moment out of your busy life to just breathe. Three months is still a long time to decide which way you want to go, either with surgery or not. You can cancel right up to the minute you walk into the hospital. A few have. This may not be your time.
So lets take the things that you are most worried about, Your hair. You will not go bald. You probably will loose some of your thickness. You are young, you have masses of hair. When you are as old as I am you would have already have lost lots of hair due to menopause, so I started off with a deficit. It did get a little scary and I needed to get my hair cut really short but I do love the freedom that it gives me. I felt it was worth it. This surgery was my last chance at a normal life.
You will not loose too much weight, you will stop a right place for you. You need to up your calories until you get to a balance. I am ok on 1500 calories a day. I have a slow life, I dont work anymore. I go out with friends, I eat and drink as before. The only thing I do not do is overeat. I don't miss doing that, my friends might do. Especially if they liked to overeat with me.
How do you see yourself ? Not how others see you. They may want a fat friend to bolster their own negative ego's. Do you put weight on every year and keep it on ? We all did. We did diets after diets and put it all back on again with added weight. Lots of us ended up with weight related illnesses like diabetes and blood pressure. If you think you can loose weight yourself and keep it off then you need to try. Give yourself 6 to 12 months to do it. Bariatric surgery is not an easy option but if you stick with it, it is a solution. If you do not follow the guide lines then like a diet, it will fail.
You should go back and chat with your surgeon. You need to be totally happy with your decision. Give yourself the time you need.