A former detective told ITV News he felt 'pressured' to record the deaths as suicides, during his investigations.
The Army issues a rare public apology after an inquest finds bullying was a contributing factor to the suicide of Cpl Anne-Marie Ellement.
A report has found serious failings by health professionals who missed opportunities to save a baby girl killed by her father.
The Defence Secretary has dismissed much of the criticism levelled against the Government on Army cuts as "nonsense".
Speaking on the BBC's Andrew Marr Show, Philip Hammond said: "We still have the fourth largest defence budget in the world.
"I was in the Pentagon just this week past, I heard my US counterpart talk about Britain as a credible, capable and reliable ally and that's what we intend to remain.
"Of course we've had to make savings, of course we've had to make some very tough decisions, ... but we're looking to the future not the past."
The father of Private Cheryl James who died at Deepcut barracks, hopes his daughters death will be fully investigated if a new inquest takes place.
Des James says they may never know what happened to his daughter but her death must be investigated further.
Pte James was found dead after an apparent suicide in 1995. She was one of four soldiers who died at the barracks between 1995 and 2002.
The solicitor acting on behalf of the family, Emma Norton, says there is no guarantee that another inquest will take place.
Private James Collinson
Aged 17, from Perth, Scotland. Pte Collinson was found with a single gunshot wound through his chin in March 2002.
Private Cheryl James
Age 18, from Llangollen, north Wales. Pte James was found dead with a bullet through her forehead, in November 1995.
Private Sean Benton
Aged 20, from Hastings in East Sussex. Pte Benton was found dead with five gunshot wounds while on guard in June 1995.
Private Geoff Gray
Aged 17, from Seaham in County Durham. Pte Gray was found dead with two gunshot wounds to his head while on guard duty in September 2001.
The family of Cheryl James say they are relieved at the Attorney General's decision to allow them permission to apply for a fresh inquest into the death of their daughter.
Pte James was one of four soldiers who died at Deepcut barracks in Surrey between 1995 and 2002.
– Des and Doreen James, parents of Pte James
We're relieved and delighted by the Attorney General's decision.
It's truly an emotional day - it's been a long and painful process, with so many hurdles, but we never considered giving up.
Cheryl had her whole life in front of her; when our young people lose their lives serving their country, not only do they deserve a full and independent investigation into their deaths, it must be their absolute right.
We may now finally achieve a meaningful inquiry into her death and we hope it brings about real change for future recruits.
A Ministry of Defence spokeswoman said: "Our thoughts remain with the family and friends of Private Cheryl James.
"This decision is a matter for the Attorney General and the courts. "If a new inquest is ordered, we will of course provide support to the coroner when needed."
Private James' parents, backed by Human Rights campaign group Liberty, called for a fresh inquest into her death, lodging an application with the Attorney General for consent to apply to the High Court for one.
Today a spokesman for Dominic Grieve said he had granted his consent.
The spokesman said:
– Attorney General spokesman
The application was made to the Attorney General on the basis that the original inquest made insufficient enquiry into the circumstances of her death and because new evidence is now available that was not put before the inquest in December 1995.
The Attorney General granted his consent because he concluded that it was in the interests of justice for the application for a new inquest to go forward and to be heard by the High Court.
The Government's chief legal adviser has given permission to the family of a young Army recruit who died at Deepcut barracks to apply for a fresh inquest into her death.
Attorney General Dominic Grieve QC has granted Private Cheryl James' family consent to apply to the High Court for a new inquest into her death, nearly a decade after it happened.
Pte James, 18, was undergoing initial training at Deepcut Barracks when she was found with gunshot wounds in November 1995.
She was one of four young soldiers who died at the barracks in Surrey between 1995 and 2002, sparking allegations of bullying and abuse.
Lawyers representing families of dead Iraqis admitted there was "insufficient evidence" to back their claims British soldiers unlawfully killed civilians nearly a decade ago.
– John Dickinson, of Public Interest Lawyers
From the outset the families have had the simple objective of discovering the extent of any wrongdoing and, if so, how it came about and who was responsible.
It is accepted that, on the material which has been disclosed to date, there is insufficient evidence to support a finding of unlawful killing in Camp Abu Naji.
– Patrick O'Connor QC confirming PIL's position to inquiry
The Iraqi core participants will not submit that, on the balance of probabilities, live Iraqis captured in the course of the battle died or were killed at Camp Abu Naji.
However, PIL said there were still allegations of mistreatment of prisoners for the inquiry to consider.
The Al-Sweady Inquiry is examining allegations British troops mistreated and killed 20 or more Iraqi detainees after the Battle of Danny Boy in May 2004. The MoD has vigorously denied the claims, saying any deaths occurred on the battlefield.
Claims that British troops unlawfully killed Iraqis a decade ago have been dropped by the families of the deceased who admitted there was "insufficient evidence."
On the last full day of evidence at the year-long Al-Sweady Inquiry, Public Interest Lawyers, who are representing the families of the deceased, said there had been "insufficient evidence" to back their allegations that civilians were killed while in British troops' custody in May 2004.
PIL said it came to the decision after the end of military evidence and "the current state of disclosure by the Ministry of Defence".
The inquiry has heard evidence from hundreds of witnesses both here and abroad, at a cost of more than £22 million.