Dear Anand, To answer your question, "Do I have the option to go to the labour commissioner/labour court?" - Yes, you have that option open.
But do you have proof that they did not allow you in the office? As you already mentioned, the online attendance is still live, so you are marking attendance, but since there will be no corresponding work, they can still terminate you.
Also, if the offer letter clearly states that you can be terminated if you fail to meet the assigned targets, which I presume have not been met, and since you have already signed that letter, what can you challenge in the Labour Court?
Regarding the F&F, they still have time to do so as it has to be done within 30 days.
So, you can approach any court, but what can you prove in that court? Plus, the decision will be pending until the case is heard, which will take around 3 - 4 years to clear. Therefore, you can wait until that time and also try explaining to any prospective employer that you will require leaves to attend the labour court, as there is a case you have filed. Your selection itself will be a question mark.
My suggestion: Forget the ego. Speak with the management and resolve it amicably.
Regards, Ashutosh Thakre