In what circumstances will a deputy public defender refuse to answer questions from a supervising attorney?

Does a person who refuses to answer any question put to him by police for questioning need not answer any questions at all and may go on his way? (California, United States of America)

Does a defendant have to proceed to trial with two attorneys, one of whom has been reappointed as a deputy public defender? (California, United States of America)

Does Deputy Public Defender Young have any evidence to support a defendant's claim that he was not negotiating in good faith with the District Attorney? (California, United States of America)

Is a client's attorney required to repay all moneys laid out by the attorney to the attorney before the client can make a claim against the attorney? (California, United States of America)

In what circumstances will a defense counsel object to a prosecutor's argument that a witness who withdrew from questioning because she was not engaging with the questioning, is entitled to continue questioning? (California, United States of America)

Does the Attorney General have a valid case to argue that the only circumstances in aggravation listed in both the probation report and the sentencing memorandum submitted by the district attorney are the circumstances in which the sentence was imposed? (California, United States of America)

Is there any case law where a defendant refused to answer a question on the grounds that it might tend to incriminate him? (California, United States of America)

Does a defendant have a right to refuse to answer any questions? (California, United States of America)

When will a court order a public defender to serve as a deputy to a district attorney? (California, United States of America)

Can a Defendant refuse to cooperate with his appointed attorney and thereby compel the court to replace that attorney? (California, United States of America)