Has any doctor diagnosed your husband with migraine? Because severe headaches
(especially at the back of the head) with vomiting and nosebleed are indicative of hypertensive headache i.e. headache as a result of high blood pressure
. In addition to this, he is obese, which also points towards hypertension
However, if he has been diagnosed with migraine in the past, or if the headache has come on after emotional stress, hunger, excess exposure to light or noise, lack of sleep, then it explains the vomiting. However, nose bleed is not seen.
Please get his blood pressure checked and also get a lipid profile
done to rule out hypertension and any cardiac ailment.
As of now, keep him on light food, avoid oily and spicy things, and see to it that he gets proper sleep.
is unlikely if he has not had any outside food in the last 6-10 hours.
All the best!