Choice "B" is correct. If it is unlikely that sufficient appropriate audit evidence will be available to support an opinion on the financial statements, it would be pointless to conduct an audit.
Choice "d" is incorrect. The existence of significant related party transactions would not prevent the auditor from accepting an audit engagement, regardless of the whether or not such transactions occurred in the ordinary course of business. The auditor would simply need to evaluate management's methods for identifying and disclosing related party transactions, and ultimately evaluate financial statement disclosure, as part of the audit.
Choice "a" is incorrect. Internal control activities are often subject to management override, but this is no reason to reject a potential audit engagement. Rather, this risk should be assessed, and audit procedures should be designed only after taking into account the assessed level of risk.
Choice "c" is incorrect. An inefficient system of information technology for recording financial transactions may not be optimal for the company, but as long as it is an effective system (i.e., as long as it provides reliable financial reporting), it will not affect the auditor's decision regarding acceptance of a new audit engagement.