The HC bench of Justice AKM Asaduzzaman and Justice SM Mozibur Rahman is likely to hear the petitions on Wednesday, said Deputy Attorney General Dr Bashir Ullah on Tuesday.
Earlier on November 19, the High Court rejected his bail petition in the Faruk murder case.
Rana had been denied bail on several occasions by both the Tangail trial court and the High Court.
The Awami League MP surrendered to the Tangail additional district and session’s judge court on September 18, 2016 ending his 22-month fugitive run in the freedom fighter murder case.
The AL leader went into ‘hiding’ after he was accused of killing freedom fighter and member of district unit AL, Faruk Ahmed.
On January 18, 2013, the Awami League leader was shot dead in front of his residence in the district town.
Later, Faruk’s wife Nahar Ahmed filed a case in this connection.
Fourteen people, including four brothers of Tangail’s influential Khan family, were made accused in the murder case.
Baghil union Jubo League leaders Mohammad Shamim and Mohammad Mamun went missing on July 16, 2012 in the district town.
The following day, Shamim’s mother filed a general diary with Tangail Sadar police station.
Later, police arrested several suspects over the incident when two of the arrestees - Shahadat Hossain, 16 and Hiron Mia, 27 -- revealed that both of the Jubo League leaders had been murdered as the order of MP Rana.