The given statement isgrammatically correct

Supreme     Court     inquires     and decides   in   case   of   doubts   and disputes  arising  out  of  elections  of President    and    Vice    president.

The Vice-President is elected by an electoral  college  consisting  of  both elected and nominated members of both   Houses   of   Parliament,   in accordance   with   the   system   of proportional     representation     by means  of  the  single  transferable vote   and   the   voting   in   such election  is  by  secret  ballot.  The Vice-President  is  not  a  member  of either  House  of  Parliament  or  of  a House of a Legislature of any state. 

The  Directive  Principles  of  State Policy are enumerated in Part IV of the Constitution from Articles 36 to 51.   The   Directive   Principles   are non-justiciable  in  nature,  that  is, they are not legally enforceable by the  courts  for  their  violation.  So, the     Governments     cannot     be compelled   to   implement   them.Although the Constitution in Article 37  itself  says  that  these  principles are fundamental in the governance of  the  country  and  it  shall  be  the duty  of  the  State  to  apply  these principles  in  making  laws. These principles  reflect  the  ideology  of socialism, Gandhian and liberalism.

The  Indianconstitution  guarantees Cultural   and   Educational   Rights under  articles  29  and  30.Under article   29,   this   article   seeks   to protect    the    interests    of    the minority  communities.  This  article confers the freedom to all citizens, residing  in  different  parts  of  the land,   to   conserve   their   distinct languages, scripts or cultures state shall   not   impose   upon   it   any culture other than the community’s own  culture.  This  article  further assures  that  no  citizen  shall  be denied  admission  into  any  state-run    or    state-aided    educational institution   on   grounds   only   of religion,  race,  caste,  language  or any of them. And Under article 30, It    provides    that    all    minority communities—religion  or  linguistic, have  the  right  to  establish  and administer  educational  institutions of  their  choice.  In  granting  aid  to educational  institutions,  the  state shall    not    discriminate    on    the grounds of religion or language.

All  are  correct.  Preamble  is  non-justiciable    in    nature    i.e.    its provisions  are  not  enforceable  in court of  law.  Preamble  is  neither  a source of power to legislature nor a prohibition   upon the   powers   of legislature.

The Justice  Party  was  a  political party in the Madras Presidency of British  India.  It  was founded    byT.    M.    Nairand P. Theagaraya     Chetty     in     1916. Communal division between Brahminsand non-Brahmins  began  in  the  presidency during   the   late-19th   and   early-20th century, mainly due to caste prejudices and disproportionate Brahminical representation in government jobs. The    Justice    Party's    foundation marked  the  culmination  of  several efforts to establish  an organisation to  represent  the  non-Brahmins  in Madras.  Founders  of  Justice  Party though  that  Congress  was  mainly Brahmin    party,    so    it    started opposing Congress