Why are diabetic people often overweight?
How are diabetes and obesity connected in light of low lipase activity?
Short answer: There's more than one type of diabetes.  (And to complicate things, there's also more than one type of lipase.  It's unclear from the question which type were mentioned in what you read.)

Diabetes mellitus is usually divided into Type 1 (insulin-deficient) and Type 2 (insulin-resistant).  Obesity is a risk factor for Type 2 diabetes, but not all diabetics are overweight. In fact, people with Type 1 are often lean.

Decreased lipase activity is not a major symptom of diabetes.  However, these two articles suggest that plasma lipase activity may be lower in cases of Type 1 diabetes but not Type 2.
Junglee, D. et al., Low pancreatic lipase in insulin-dependent diabetics, 1983.
Dendona, P. et al., Exocrine pancreatic function in diabetes mellitus, 1984.