CAD files are not editable in ArcMAP. They can be brought in, georeferenced, displayed and copied (sometimes) to editable feature classes. However they can be converted to GIS features, both by the CAD to geodatabase tool and by reprojecting to a different coordinate system.
Likely your best approach will be to convert all the CAD data into gdb feature classes if you need to edit it. This will involve georeferencing them either by knowing some coordinates or having a reference base map.
On the other hand if you are only plotting locations, you may only need a single point file (feature class or shapefile) and just display the dwgs as background layers once georefed.
Hardolph