There are a lot of things going on in your post.
If your intention is to be able to Locate new features and have them displayed relative to the WGS84 points ( EPSG:4326) from your GIS guy, then that is called “Localization”, or “Site Calibration”.
Performing a Site Calibration will shift everything you collect to match the existing “Control”.
That’s generally performed with various Apps dedicated to the Surveying Industry.
Another method is to move your basemap to the actual location and orientation provided by the Facet, paying close attention to the reference frame of your RTK correction source.
But the question is really… what’s your source of truth?
It’s not the aerial, and probably not the EPSG:4326 points, which is a static system.