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Can you share the form?  Also what version of AEM are you using?

Server url: http://myserverPort: 8080HTML Preview Context: lc/content/xfaforms/profiles/default.htmlForms Manager Context: lc/fm <- I believe you have this incorrect

Have you followed the instructions listed here? Adobe Experience Manager Help | Generate HTML5 preview of an XDP form

Once you have deployed the AEM Forms addon into AEM using package manager you can go to http://localhost:4502/aem/forms.html/content/dam/formsanddocuments this will allow you to import your XFA forms one at a time or if it's easier for you zip up the XFA forms and upload the zip.  You can use the fo...

Why would the request be the responsibilty of AEM?  AEM would be passing the assertion over to the SAML server that should be able to log the request

I think something was lost in communication/terminology here and I apologize for that.  You can continue to use LiveCycle Designer.  What I think was lost in translation was the fact that you're likely creating PDF forms that you're making available on your website and the browser vendors don't allo...

Put the submit button outside of the xdp, use adaptive form submit

What you can do is go to the properties of the adaptive form and associate the XDP as the model.  Then in the Adaptive Form add a verify step, this will render the XDP.  On the verify component there is a configuration option to make it interactive.

How complex are the rules to determine the order and are they determined server side or client side?  You can hide and show panels via script in the form or server side you may look at form sets.