Darling, darling, doesn't have a problem
Lying to herself cause her liquor's top shelf
Carmen has no shame in her game. She lies to herself and others about her promiscuity and prostitution because she is living a luxurious lifestyle.
This could also referring to her having a drinking problem: she convinces herself she’s not an alcoholic because the alcohol she’s drinking is so fancy.
Also, when Lana Del Rey was called Lizzy Grant, she suffered from alcohol dependence from age of 14 and was sent to a boarding school to get sober. She came from a wealthy family and so talking about top-shelf liquor and drink problem could be a personal reference, talking from real-life experience.
To help improve the meaning of these lyrics, visit "Carmen" by Lana Del Rey Lyrics and leave a comment on the lyrics box