Ayurveda is an Indian healing system that is based on the belief that if your mind, body, and spirit must be in harmony with the universe in order to be in good health. Therefore, things such as stress and lack and of sleep can disrupt your harmony with the universe and make your health bad.
The goal of Ayurvedic medicine is to cleanse the person of undigested food through treatments such as laxatives, massage, and blood purification.
As far as I can tell, there is no need to study yoga if you plan on studying Ayurvedic medicine.
YES A LITTLE BIT BUT THE MOST IMPORTANT PART OF AIS THE KNOWING OF IMPOTANCE OF AYURVEDIC PLANTS AND LEAVES AND THERE IMPORTANCE IN CURING OF VARIOUS DISEASES
Two two practices are often occur together but it is nothing more than a correlation, for a crude example, a traditional american cookout has hotdogs and hamburgers, just because there are hotdogs doesn't mean there has to be hamburgers, simply people who enjoy one also enjoy the other. Many types of physical exercise can be used in combination with ayurvedic practices so if yoga is not your interest there are a plethora of options.