No, everything is not Ok.
The Payease web site is using an old security certificate that is no longer trusted by latest versions of some of the major web browsers.
Chrome distrusts these old Symantec issued certificates since version 66 (out April 17th, 2018).
Firefox distrusts these certificates since version 60 (out May 9th, 2018).
I have no information on when Internet Explorer, Opera, Safari and others will do the same (or if they already issue similar warnings when connecting to Payease web site).
While collector instinct can override any security concerns, most online buyers are well aware that one really should send personal information like credit card details only over connections that are private and secure.
This advice is not useful, as the problem is not with the user's browser or the platform they are using. The problem is with the Payease web site.
I urge HDzeta to contact Payease and using the strongest possible terms, request that they acquire new security certificates. This situation will hurt HDzeta's business and reputation, even if the problem isn't at the HDzeta web site.
Any other Chinese companies using Payease to process international credit card payments will be impacted, too.
There's plenty of online information available about this situation, Google, e.g., "distrust symantec security certificates". The information has been publicly available for more than six months.
For HDzeta, the problem will not go away before Payease installs new security certificates.