Step 1: Impact of Automobiles.
\nThe advent of automobiles granted individuals enhanced mobility, facilitating the horizontal expansion of cities. This phenomenon is termed urban sprawl. \n\[\n(A) \; \text{Correct}\n\] \n\n \n
Step 2: Compact Cities and Carbon Emissions.
\nCities characterized by compactness, integrated land uses, and higher population density actually shorten travel distances and lessen reliance on vehicles. This results in reduced, not increased, carbon emissions. \n\[\n(B) \; \text{Incorrect}\n\] \n\n \n
Step 3: Interrelation of Land Use and Transportation.
\nDecisions regarding land use influence transportation demand, while transportation infrastructure in turn shapes land use patterns. These two elements are highly interdependent. \n\[\n(C) \; \text{Correct}\n\] \n\n \n
Step 4: Influence of New Transportation Systems.
\nThe implementation of new transportation systems (such as metro or BRT) substantially modifies accessibility, travel options, and the structure of urban areas. Consequently, the assertion that it does not alter accessibility is inaccurate. \n\[\n(D) \; \text{Incorrect}\n\] \n\n \n
Step 5: Summary.
\nThe accurate statements are (A) and (C). \n\n \n
Final Result: \n\[\n\boxed{\text{(A) and (C)}}\n\]