Is there a relationship with type 1 diabetes and obesity?

Depends on question: If the question is do chubby kids get type 1 dm more often than others, the answer is no. Given that about 1/3 of usa kids are heavier than they should be, the fluffy ones still get type 1 @ the same rate as others. Kids with poorly controlled dm can and do become overweight later do to a combination of issues. This is different from type 2 wher obesity is almost always a triggering factor.

More insulin: The only relationship is that if you are obese you may require higher Insulin doses to produce the same effect.

Nope.: Absolutely not. It is a cruel autoimmune illness in which an overactive immune system creates antibodies which attack your ( child's) pancreas until its dead.