Step 1: A self-liquidating loan is repaid from the income the financed activity generates in the same period, so Statement (I) is correct.
Step 2: Net income and net operating income come from the income statement, which records revenue and expenses over time.
Step 3: The balance sheet is a snapshot of assets and liabilities, it has no income figures.
Step 4: So Statement (II) is incorrect.
\[ \boxed{\text{Option (3): Statement (I) correct, Statement (II) incorrect}} \]