It may be a very obvious one, but how do I add more than one relative hyperlink to a point feature class in ArcGIS for Desktop with a Basic level license?
The Basic level license eliminates using Attachments being a possibility.
ArcGIS has 2 standard ways to define a hyperlink:
This is an ArcWatch article about hyperlinks.
Summary of workarounds to use multiple hyperlinks with field based hyperlinks:
You can do field based hyperlinks (using hyperlink tool), however you have to choose the Script option and modify the script slightly to point at your second or third field, see instruction below:
This opens pictures from two different fields using hyperlink tool