I hope you have logged to the extension and configured your account/ environment - if not please do and check again

are  you doing cache purge on the web layer / pages where the script being used/ injected ?

in this approach, there might be conflict while data capture, so ensure to have a separate event defined for each data element corresponding web sdk else have one data layer only to capture data elements and trigger two events/map/send data to each data stream - only script is required 

https://experienceleague.adobe.com/en/docs/analytics/implementation/mobile-device-sdk

adding to the list, ensure to through Adobe documentation as well - some of the questions are not covered in the guide

the best approach would be keep the existing dataset and create a new one [use it for future ingestion ]for the required event - that way you stay historical events as well

- Define segmentation in AEP and enable it for target personalization using WebSDK settings, - Move segments to target - Use Target recommendation engine 

A proposition interaction is used to report an experience event that relates to a prior decision proposition more details for setup : https://github.com/adobe/xdm/blob/master/docs/reference/adobe/experience/decisioning/experienceevent-proposition-interaction.schema.md

i think, Clicked an element should be good as it would support conversation and reports  @Lewis_Claxton1 

yes based on the visit and unauthorized user  @JyotiSharmaV