Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Show Folders First
PREF_BROWSER_SHOWFOLDERParameter: Sort while Searching
PREF_BROWSER_SORTRESULTParameter: Timeout (sec)
PREF_BROWSER_PREVIEWTIMEOUTParameter: Show
PREF_BROWSER_PREVIEWDISPLAYParameter: Width
PREF_BROWSER_PREVIEWWIDTHParameter: Height
PREF_BROWSER_PREVIEWHEIGHTParameter: Quality
PREF_BROWSER_PREVIEWCOMPParameter: Render Project
PREF_BROWSER_PREVIEWRENDER