Bug: ArcPad 7.0 does not change the symbology of multipoint features
ArcPad 7.0 does not change the symbology of multipoint features.
Until this issue is resolved, a possible workaround is to convert the multipoints to a point file:
Open ArcMap. Add the multipoint shapefile.
Open ArcToolbox. Navigate to Data Management tools > Features > Multipart to Single Part.
Open the Multipart to Single Part tool.
Insert the multipoint shapefile into the Input Feature Class Option. In the Output Feature Class Option specify an output location and name for the new shapefile.