Hi Vijay,
You have asked a few unrelated questions and put them in a single thread. I am unsure whether to answer all of them or just address your main grievance against the moderators, so for now I will only address the latter as that seemed salient in your thread.
Moderators are supposed to largely leave the threads alone. Knit-picking every thread is typically not in anyone's interest and even if members feel like a large number of threads have been moderated in the past, you will be surprised that this number is a very small percentage of the total threads that have been posted.
Secondly, the male moderator that you have talked about in your thread is relatively new at being a moderator (doing his duty for the past 3 weeks only). He is learning when to be strict and when to be lenient and as I had posted in my thread introducing him, members need to allow him some time before he understands the nuances of moderatorship. I am sure when you joined your job, there was a certain training period involved, right? The same thing applies here.
Finally, I have said time and time again, Moderators cannot catch every culprit every single time. Believe it or not, we all have other jobs that we have to tend to as well. Members can either be helpful in catching those culprits by saving chat logs, reporting abusive threads etc. to the moderators, or they can blame the moderators for everything that goes wrong here. Also, keep one thing in mind. Just because you want someone banned because you think they said something invalid doesn't automatically mean that person will be banned. They will be given a fair chance to explain their side of the story and the right action will be taken after looking at all the evidence. We are not politicians, but we are not pawns either!
-Satyeshwar