parentage of Otto 'of Hammerstein'

[M.Sjostrom]

Otto of Hammerstein, who via his mother (Ermgard van Hamaland) succeeded to the Hamaland inheritance (the future Gelderland),
is said to have been son of Count Palatine Heribert, in Kinziggau and Wetterau

On the other hand, the forefather of the counts of Luxembourg married a daughter of count Heribert.

Is there any doubt about these idfentifications and filiations:

that Heribert in Kinziggau and Wetterau, count Palatine, was son of count Konrad of the Konradiner and grandson of count Gebhard ?

that Frederic de Ardennes' wife was daughter of this Heribert the count palatine?

that Otto 'of Hammerstein' in Hamaland were son of this Heribert the count palatine ?

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the 'Konradiner' lineage, passing all the way down to Heribert, count in Kinziggau
http://genealogics.org/descend.php?personID=I00120361&tree=LEO&displayoption=all&generations=5

roots of the next generation of Luxembourg / counts in Ardennes
http://genealogics.org/pedigree.php?personID=I00092001&tree=LEO
including Heribert, Count Palatine

Otto of Hammerstein, count in Hamaland
http://genealogics.org/getperson.php?personID=I00312985&tree=LEO