Lie detection tests dont have any value in New Zealand courts, and are not recognised as valid. When issues of contact with a child are raised the first step is family mediation and that will need to include the practical issue of how you can have contact from the UK
Are you still in the UK?
I can make some suggestions about how to progress your contact issues which can start with supervised contact and later move to unsupervised contact but the real issue will be how often you can visit from the UK?
Mediation can be done online so you could either see if you can arrange a visit and see if she will accept this with supervision, and if not try mediation to negotiate something.
Lie detection tests are junk science and should be seen as such
About this service
Whilst most people reach agreement on parenting arrangements privately, some people need extra help. FDR is a nationwide mediation service that helps people discuss their parenting arrangements. An FDR Provider (mediator) will work with all parties so that a practical agreement can be reached that supports the best interests of the child.
How the process works
Anyone involved in a dispute about the care of children can go to FDR. The focus of FairWay’s FDR service is to help parties build a better understanding of their children’s needs, and a better co-parenting relationship. Our FDR mediators’ emphasis is on building parties’ communication skills, which will help you make your own joint decisions for your children in the future.
From the provider for mediation Fairway Resolution, which is a government company which provides mediation services. The actual link is here
FDR mediation is free of charge if you qualify for government funding. If you do not qualify for full funding, you will still be able to access FDR at a total cost of $897 including GST, by using FairWay FDR mediators. To find out whether you qualify for government funding call us on 0800 77 44 20 and talk to one of our Resolution Coordinators.
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To start the FDR process to resolve a dispute about parenting arrangements or for further information, please call our FDR team on 0800 77 44 20 or email us at *****@******.***
I cant say about UK law and lie detector tests, but they dont get used here in New Zealand and if you apply under our law no one will make you take those tests
Perhaps contact her and suggest online mediation and explain lie detectors are not used here