Option-1: Indian Coast Guard has been entrusted with the offshore security coordination authority. This statement is correct. The Indian Coast Guard has been given the responsibility to coordinate offshore security activities and ensure the safety and security of India`s exclusive economic zone (EEZ) and other offshore areas.

Option-2: Lead intelligence agency for coastal and sea border. This statement is incorrect. While the Indian Coast Guard plays a significant role in maintaining coastal security, it is not the lead intelligence agency for coastal and sea borders. Other agencies such as the Indian Navy, State Police, and intelligence agencies like the Research and Analysis Wing (RAW) and the Intelligence Bureau (IB) are involved in intelligence gathering and coordination for coastal and sea borders.

Option-3: Coastal security in territorial waters. This statement is correct. The Indian Coast Guard is responsible for ensuring coastal security in India`s territorial waters up to 12 nautical miles from the coastline. They conduct patrols, surveillance, and interception of any illegal activities, including terrorism, smuggling, and piracy.

Based on the analysis, the correct answer is option 2. The Indian Coast Guard is entrusted with the offshore security coordination authority and is responsible for coastal security in territorial waters. However, it is not the lead intelligence agency for coastal and sea borders