May be you are also using other appliances. Laptops don't consume more electricity. Atleast less than bigger appliances like AC, refrigerator, etc.
No laptops doesn't use much electricity. I saw the same problem with a dp member. Do search and found that topic for more information
No. I doubt it's the laptop though it is a small, small part. You got to consider other things or smaller things adding up. Refrigerator, AC, etc.