No customer data is stored on Archive.Limited servers.
This website and this form are both encrypted using SSL, the standard for web encryption. Your traffic is secured from your computer to the servers.
Customer data is encrypted on a BAA and PCI compliant cloud server (run by a dedicated, external company).
Payment processing is provided by Stripe, a DSS Compliant payment processor.
This form is an embedded iframe. Even if Archive.Limited was compromised, your browser would treat the form separately from the site. Therefore, your data would still be safe.