Apart from the above, as regards the planetary positions and sequence in 5561 BCE:
Saturn is near Uttaraphalguni (not at Rohini which is what the critical edition of the epic says)
Mars is retrograde near Swati (not retrograde near Jyestha which is what the critical edition says in the epic)
Lunar eclipse on 30th Oct occurs at Ardra/Punarvasu (It should be at Krittika as per the epic)
Solar eclipse on 16th Oct 5561 BCE at Mula (should be at Jyestha actually as per the epic)
The sequence has solar eclipse first and the lunar eclipse later which is exactly the opposite to what the critical edition of the Mahabharata says. These are all contrary positions to what the critical edition of the Mahabharata says and are all good reasons for completely refuting 5561BCE as the date of the war.