Hello, Greetings! of the day. As mentioned in project description,
1) There is "JSON ERROR: Syntax error", when PUT request is sent to your website, using Woocommerce REST API.
2) You have checked that "Wp keys are right, https is ok, json destination is correct, the php show error is off".
The issue may be there, due to PUT method not allowed on your server. OR it may be permalink issue. To resolve the issue, the error logs will need to be checked, JSON response will need to be checked.
I have much experience in working on projects, using PHP, Woocommerce. Your work will be done, according to requirements.
Thanks.