We visit a problem-solving court in Coventry. Joshua Rozenberg speaks to judges, social workers and a mother whose drug addiction put her at risk of losing her children.

Behind the scenes at the UK's top court: Joshua Rozenberg talks to staff, officials and the court’s most senior justices. Why do they allow some appeals and refuse even to hear others? How activist are they? And what effect did the Brexit challenge of 2016 have on the reputation of the judiciary?

Judge Alex Calabrese can wield the big stick if he needs to. But peacemakers at the Red Hook Community Justice Centre in Brooklyn often find it more effective to pass round what they call a talking stick. Joshua Rozenberg finds out whether a Native American form of dispute resolution can be transplanted to a deprived corner of New York.

Also, what the new director of public prosecutions for England and Wales thinks about screening jurors before they try rape cases. And one of the BBC team covering the Grenfell Tower Inquiry brings us up to date with the lines of evidence that have emerged so far.

(Picture: Alex Calabrese, Acting Supreme Court Justice for the State of New York and Presiding Judge at Red Hook Community Justice Centre)

Producer: Neil Koenig

Joshua Rozenberg hears the story of the extraordinary case that rewrote the way America is governed - giving the Supreme Court the power to overrule Congress. He discovers what American prosecutors get up to behind the closed doors of the grand jury room. And he asks whether we should be screening jurors in England and Wales for bias before they are allowed to serve on rape trials.

There is a possibility of a new legal challenge to the tech giants. Early last year, an unknown American law student published a scholarly article in a distinguished journal. Lina Khan argued that competition law – known in the United States as anti-trust law – could be used to rein in the activities of huge enterprises like Amazon. Other lawyers disagree with her reasoning - but the Federal Trade Commission is assessing the arguments. Joshua Rozenberg sounds out opinions in the United States. Also this week: should offences committed in childhood mean a criminal record for life?

Dennis Hutchings, a former soldier charged with attempted murder in Northern Ireland in 1974, says the UK Supreme Court should let him face trial by jury, rather than a hearing at a special court where a judge sits alone. Joshua Rozenberg speaks to Mr Hutchings and his lawyer. And in the first of a series of reports from the US, we investigate whether female lawyers face prejudice in the courtroom - including allegations of using tears to manipulate jurors.

Producer: Neil Koenig

Some police forces are using automated facial recognition technology to pick suspects out of a crowd. But is face mapping a valuable tool in the fight against serious crime or a new threat to our civil liberties? And does it work? Joshua Rozenberg investigates.

Also in this week's programme...

Do body-worn video cameras help police to deal more effectively with domestic violence incidents - or do they make matters worse?

And the mysterious case of the "pernicious weed"...who should pay when the wrong kind of vegetation - such as Japanese knotweed - is found on railway lines?

Producer: Neil Koenig

Does social media pose a threat to criminal justice - and can fair trials be ensured?

In this week's programme, Sir Brian Leveson, head of criminal justice in the courts of England and Wales, tells Joshua Rozenberg that the law needs updating to cope with the growth in social media. And a retired senior judge from Northern Ireland considers whether more needs to be done to protect complainants - and defendants - in sexual assault trials.

Also in this edition of Law in Action: something rather unusual - a private prosecution for fraud.

Producer: Neil Koenig

Is moving justice online a good idea? In British Columbia they have done just that, with a new online tribunal handling things like small claims and property disputes. Could something like this work in Britain? Joshua Rozenberg reports from Vancouver.

Also in this week's programme: law is an immensely popular subject for students, but are they given sufficient warnings about how difficult it will be to find work as a solicitor or barrister - especially in the field of criminal law?

And does Donald Trump have the ability to pardon himself were he to commit a crime?

Producer: Neil Koenig

Should it be easier to end a marriage? The Supreme Court is currently considering a rare defended divorce. Campaigners hope the case will prompt a change in the law in England and Wales - but others fear this will lead to divorce on demand. Joshua Rozenberg investigates.

Also in this week's programme: Christina Blacklaws, incoming president of the Law Society of England and Wales, on the implications of an important milestone. A century after the reform that allowed them to become lawyers, most practising solicitors are now women.

And, the Attorney General Jeremy Wright on what to do with the National Fund: nearly 500 million pounds which was meant to pay off the national debt.

Producer: Neil Koenig