All of the statements provided are generally accurate in the context of macroeconomic principles. However, if one had to look for a statement that is potentially misleading or could be argued as false based on specific interpretations or contexts, it might be the last one.
The statement that "households and firms are linked via the goods market and the factor market" is broadly correct. Households consume goods and services in the goods market and supply factors of production (labor, capital, etc.) in the factor market. However, this statement could be considered false if one were to argue that the connection is not solely through these two markets, as there are also many other ways in which households and firms interact (e.g., through credit markets, investments, etc.).
The other statements accurately describe core ideas in macroeconomics, including how income, spending, and production are related. Therefore, the typical consensus is that all the statements are fundamentally true depending on the macroeconomic context, but the last statement could be seen as somewhat narrow or lacking nuance.
If forced to choose, you could argue that it's the most likely candidate for a 'false' statement, but in the strictest sense concerning macroeconomics, it's still largely true.
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