Would Carmine's kitchen staff be panicked if they had no olive oil?
Carmine's is an Italian restaurant. Olive oil is a large component of a lot of Italian cooking.
The answer is yes.

Would LeBron James hypothetically glance upwards at Yuri Gagarin?
LeBron James is 6 feet 9 inches tall. Yuri Gagarin was 5 feet 2 inches tall. Typically shorter individuals look up at taller individuals when they are speaking as it is polite to look face to face at someone when you are speaking to them.
The answer is no.

Was the original James Bond actor born near the Washington Monument?
The original James Bond actor was Sean Connery. Sean Connery was born in Scotland. The Washington Monument is located in Washington, D.C. Washington, D.C. and Scotland are nearly 3,500 miles apart.
The answer is no.

Does Antarctica have a lot of problems relating to homelessness?
Antarctica has no permanent residents. Exposure to the elements would be deadly for homeless people during certain times of year.
The answer is no.