Dear Gauri,
Please write an official mail to your MD and mark to your consultant. As per my understanding from your mail, I think you are not a payroll employee of the Company. The Company must have hired you as outsourced employee since it happened to me when I started my career and I was not getting any official letter from the company. Then I drafted an official mail to HR an d CFO of the company stating all my issues. I even drafted that I regret but I cannot continued the job then immediately I got a called from the HR and consoled me. The very next day, I received all the official letters from the company.
Kindly take the right decision. I can feel your situation as I had also undergone the same.
All the best....Dont worry, no employer wanted to loose the good employee as it is very tough to get the right person.
Regards,
Bem