It’s been almost a week since NSW Police began investigating the double murder of Sydney couple Jesse Baird and Luke Davies.

Police confirmed that a search of a remote property near Goulburn on Monday did not yield anything of interest to the investigation.

Among the many questions swirling about the alleged killings of the couple, police say they will allege in court that a police pistol was used as the murder weapon.

What do we know so far?

Police are searching for the bodies of 26-year-old former TV presenter Jesse Baird and his flight attendant boyfriend Luke Davies, who they allege were murdered by Senior Constable Beau Lamarre-Condon last week.

Deputy Police Commissioner David Hudson told the media on Monday that police will allege in court that a rented white van at the centre of their investigations was driven to a property in Bungonia, 33 kilometres south of Goulburn, two days after the murders.

However, the bodies have not been found there despite an extensive search.

They’re also investigating whether the bodies may have been relocated during a gap in the timeline detectives have pieced together.

Police are also alleging a padlock and angle grinder were purchased at a local hardware store near Bungonia and weights from a department store last Wednesday.

Deputy Commissioner Hudson also said it would be part of the police case that the accused had called in sick after the couple went missing.

“My understanding was he was on a recurrent leave day and then availed himself on the Wednesday, Thursday for two sick days, allegedly for a minor operation,” he said.

The alleged murder weapon

Police say gunshots were heard by neighbours just minutes before a triple-0 call was placed from Mr Baird’s phone on Monday last week.

That call disconnected before anyone spoke to the operator, and police say they don’t know whether it was placed by Mr Baird or another person.

Former colleagues of Mr Baird were receiving text messages from his phone on Tuesday evening, police will allege.

On Friday, police said whoever sent those messages will form part of the evidence provided to the courts: “Who had use of that phone is still to be established.”

Deputy Commissioner Hudson said police will allege in court that the spent cartridge found at the scene was from a glock pistol that had been signed out from Miranda Police Station several days earlier.

“Post the incident, we believe the gun may have been stored at Balmain Police Station … before being returned to Miranda the following day.”

Police have not confirmed the whereabouts of the weapon between when it was signed out of Miranda station on Thursday, and when it was stored at Balmain on Monday.

What is a user pay event?

Under a system known as User Pays Policing Services, NSW Police provides off-duty, uniformed officers to boost security at events like music festivals or protests, with the tab usually picked up by organisers.

The officers are usually armed and are paid overtime rates, which are charged out by the police force.

On its website, the NSW Police Force says services provided under the system “include policing services at special events; transport escorts; control of traffic for film and television shoots and a wide variety of information services”.

Deputy Commissioner Hudson said in this instance, the user pays event was a protest on Sunday covered under Operation Shelter, which the NSW government pays for.

Was the gun legally checked out the whole time?

That’s one of the things that will form part of an independent investigation being conducted by Victorian Police.

“The policies are under review,” Deputy Commissioner Hudson said.

“I would suggest that within policy, with user pays events that is not an unusual circumstance when police are deployed to locations they’re not normally attached to, where their firearm is normally stored.

“There are also approvals within the organisation for firearms to be stored at home as well.”

Independent MP Alex Greenwich claimed the alleged murders raise serious questions about the user pays scheme.

“I think the review should definitely include reflections and potential changes to the User Pays police model,” he said.