Your father's symptoms of vomiting, weakness, respiratory distress, and high blood sugar suggest he may be experiencing periodic diabetic ketoacidosis (DKA), which is highly treatable. His current low insulin doses likely need upward adjustment or a transition to a basal-bolus insulin regimen. I highly recommend consulting his endocrinologist to safely adjust his daily insulin doses. During these episodes, it is crucial to check his blood or urine for ketones. His doctor can also establish a 'sick-day plan,' which outlines how to adjust insulin and stay hydrated during illness to prevent these recurrent episodes. Please do not alter his doses without direct medical supervision.