An important difference between a civil right and a civil liberty is that:
Civil rights belong to citizens.
Civil rights refer to the protections and privileges of citizens, particularly in relation to equality and the prevention of discrimination. They are often enshrined in law and ensure that individuals have access to certain opportunities and protections.
On the other hand, civil liberties are fundamental freedoms that protect individuals from government overreach, and they are typically guaranteed by the Constitution. Civil liberties apply to all individuals, including foreigners, and are not limited to citizens.
The other statements you provided either misconstrue the nature of civil liberties or civil rights or are not accurate distinctions.