Also tell me should I file a comprehensive suit involving (i) claiming partition and my share in all properties in mother’s name
Partition suit is not maintainable because it is your mother's own and absolute property hence neither you nor anyone are entitled to any share in your mother's property during her life time.
(ii) challenge transfer of one property in sister’s name
This is also not maintainable
(iii) seeking stay on any future sale/transfer of any property currently in mother’s name or I should file separate suits for these things.
Not maintainable
I forgot to tell further, there is a property which is a refugee property administered by Delhi Urban Shelter Improvement Board, Govt. of Delhi and licenced in the name of my late Grandfather. My brother is occupying that property and earning handsome rental income amounting (approx. Rs.[deleted] per month). He does not allow access to me in that property. Can I claim my share in that property and also share in rental income of that property also ?
If it still remains in your grandfather's name or if it has been transferred to your father's name and he died intestate, then you can claim a share in that property along with a share in mesne profits..
If I can, should I include that property in comprehensive suit or file a separate suit for that property which is not a property owned by family but licenced by govt. for residential use after independence/partition in year 1950.
Separate suit seeking your rights to a share in the mesne profit of the property.