A Maharathi Torrent
Siri Vonbank
The answer to your question will never end since the details about battle strategies, weapons, formations (vyuhas) is pretty big. However, I will give you an overview of the classification of warriors, military units, divisons and Vyuhas. I cannot give you the details of weapons since the number of weapons used is simply uncountable. What we know today is just a brief overview of the weapons used but the actual number of weapons used was far greater than that.
No warrior in Mahabharata war held this rank. Vyasa was of the opinion that Krishna is the only Atimaharathi after Parashurama, because of his Sudarshan Chakra which is deadlier than Bhrahmasthra, Pashupatashtra and all divine weapons combined.
Vyasa considers both Duryodhana and Bheema have the talent of an Atirathi but since both are weak in strategy and tactical thinking, they are slightly lesser than an Atirathi but higher than Rathis. Bheema and Duryodhana are considered equal to 8 Rathis.
This was done through the code of big drums, Trumphets, Sankhs and other horns which would instruct the army what to do. Given below is a picture of a modern day Nagara but at that time, Nagaras were even bigger, mounted on the top of an Elephant and drummed by long bamboo pipes.
When the General wants to convey a command to his army or divison to change positions, he would instruct his Nagara player to beat a specific tune. That tune is a code and the moment that tune is played, everyone in his division would know what to do and how to re-align the army.
The position of a Maharathi, Atirathi and Rathi was determined by the commander in chief and as per the merit of the general, the position was given. Every counter measure was taken and analyzed, different plans were made to neutralize damages, if a Maharathi dies. A Maharathi or general simply could not choose his opponent as per his wish, everybody had a fixed target and task that had to be catered to.
Bheesma defeated Parsuram ji in dual combat. Whereas you are showing Bheesma as maharathi and Parsuram ji as Atimaharathi.
Same for Indrajit. Indrajit got this name by defeating Indra and You are saying Indrajit below to Indra.
What about Krishna. Everyone knows that Now one is even near to Krishna How Indra aadi devta can be up in the rank from Krishna.
Same for Arjuna, Who alone defeated Dev and Ghandarva and You are showing him as maharathi. Who has defeated Karna in many battles.
So I completely disagree by ranks given by you. To get good knowledge about ranks do not learn things by listening from others. Just read Mahabharata of Veda vyasa ji maharaj.