In order to make answer (D) correct you have to put suspicion in the past tense, to keep all tenses matched = "she had resigned" .
To make suspicion become a past tense you have to modify it to become "suspicious"
Helen's parents were suspicious that she was still on the job, but she had resigned.
"WERE SUSPICIOUS" as one phrase were/was = in the past.
"SHE HAD RESIGNED" = IN THE PAST had (past) + resigned (past)
Now the tenses match in all of the sentence.