I think you are doing great. I have same detox symptoms as yours, I have reflux, dry skin, bleeding gums, etc. But all at the same time every time I fast. Warm water sipping like tea helps me with reflux. I just swish water for bleeding gums. 13lbs weight loss in 12 days is normal. 1lb/day is what happens to most of us. You will see days when you will drop 3-4 lbs in one day.
Light Yoga, walking all those are good, Pranayum is also great. You have everything going for you. Keep the body warm. Detox is the annoying part. I had terrible rashes in my last fast a month ago.