Do drinking of warm water after you wake up really makes you loose weight and make your metabolism faster ?

Not really. Eating protein within wo minutes of toting your feet on to floor will speed up your metabolism . Also throughout the day you should drink at least 8 8 ounces glasses of water for each 20-25 pound you care to lose.
Maybe, maybe not. Drinking water can help with weight loss if it is substituting for other drinks that contain calories. Drinking water (or plain green tea) before a meal can also fill up the stomach somewhat, and make a person satisfied with a smaller meal. If substituting water for non-fat milk, one would need another source for vitamin d and calcium. One's metabolism should not change from just drinking water.