elicit will replace illicit
elicit (Verb) : to get information or a reaction from somebody, often with difficulty
illicit (Adj.) : not allowed by law; illegal
Look at the examples given below :
In the prison, inmates are prohibited from having illicit items such as drugs, alcohol, and weapons. The comedian hoped his jokes would elicit a great deal of laughter from the audience.
Hence, Though the police tried all sorts of methods to elicit is the right usage.

Correct Option: A

elicit will replace illicit
elicit (Verb) : to get information or a reaction from somebody, often with difficulty
illicit (Adj.) : not allowed by law; illegal
Look at the examples given below :
In the prison, inmates are prohibited from having illicit items such as drugs, alcohol, and weapons. The comedian hoped his jokes would elicit a great deal of laughter from the audience.
Hence, Though the police tried all sorts of methods to elicit is the right usage.

am will be replace by was. In Indirect speech, verb changes according to the reporting verb. As the reporting verb is in Past Tense the verb in the reported speech will also be in Past Tense.
Hence, what I was doing is the right usage

Correct Option: B

am will be replace by was. In Indirect speech, verb changes according to the reporting verb. As the reporting verb is in Past Tense the verb in the reported speech will also be in Past Tense.
Hence, what I was doing is the right usage

launched will replace launch
Hence, at the newly launched bar is the right usage

Correct Option: C

launched will replace launch
Hence, at the newly launched bar is the right usage

has (had) will replace have because –
when two subjects are joined with as well as, along with, in addition to, the Verb agrees with the first Subject. The sentence is in Past Tense
Look at the examples given below :
The Moon, as well as Venus, are visible in the night sky. (×)
The Moon, as well as Venus, is visible in the night sky. (✔)

Correct Option: C

has (had) will replace have because –
when two subjects are joined with as well as, along with, in addition to, the Verb agrees with the first Subject. The sentence is in Past Tense
Look at the examples given below :
The Moon, as well as Venus, are visible in the night sky. (×)
The Moon, as well as Venus, is visible in the night sky. (✔)

doesn’t will replace don’t because – a Singular Subject agrees with a Singular Verb.
Hence, doesn’t want is the right usage

Correct Option: B

doesn’t will replace don’t because – a Singular Subject agrees with a Singular Verb.
Hence, doesn’t want is the right usage