Plss solve these co law cases for me

1.. in XYZ ltd. the directors are found guilty of delay, bungling and
faulty planning which have resulted in losses and fall in prices of
the shares of the company. members holding1/10 of the voting power in
thecompany apply to the central govt. for investigation on the ground
that the circumstances establish fraud on the part of the directors.
Is the appointment of an inspector justified under the circumstances.

2..Ram shyam and laxman hold jointly 100 shares in a company.they want
the order of name changed in the share certificate as shayam, ram and
laxman and make an application for change and lodge the original share
certificate. the company directed them to execute a proper instrument
of transfer to effact the change. Is the company justified?

3... A house is alloted to the whole time director of the company.
after the death of the whole time director the house was occupied by
his legal heirs. the company demanded the house from the legal heirs
of whole time director. whether the company will be successful?

4..pawan ltd. committed default by falling to file balance sheet and
p/l account. proceedings have been initiated against a non executive
director. however he contended that he was resigned before the date of
default. whether the contention of the ex-director be taken into
account?

5...a director of the company along with another director were
prosecuted under section 220 for their failure to file return, annual
accounts and audited balance sheet required to be laid before the
annual general meeting. the question is whether any failure to file
such documents would constitute a continuing offence. whether the
period of limitation applicable in this case?