If (by some chance) you know the full Active Directory object name for your account, then you could retrieve the details with a script like this:
Set objUser = GetObject ("LDAP://cn=DoeJ,ou=management,dc=fabrikam,dc=com")
objUser.GetInfo
strProfilePath = objUser.Get("profilePath")
strScriptPath = objUser.Get("scriptPath")
strHomeDirectory = objUser.Get("homeDirectory")
strHomeDrive = objUser.Get("homeDrive")
WScript.echo "profilePath: " & strProfilePath
WScript.echo "scriptPath: " & strScriptPath
WScript.echo "homeDirectory: " & strHomeDirectory
WScript.echo "homeDrive: " & strHomeDrive
Save that as something like "viewprofile.vbs" then run from a command line with:
cscript viewprofile.vbs
As for finding the full name of your active directory object, I honestly don't know how you'd do that without enough access to browse AD, or asking an admin to tell you (can't see how telling you the detail of your own account would be a security breach).