Liat,
What it is about the examples I used that made you think they are incorrect. My rebuttal to Jain’s comments was self-explanatory, no need to repeat it. Trouble / troubles are both possible, depending on the context. Now, let’s back track to Jain’s comment about “troubles” being incorrect, if you are still on the same argument.
Can you see that the troubles in your sentences are related to the following definition?
Your troubles are your worries: Sit down and forget your troubles (OR problems) for a minute.
I don't see anything wrong in examples with "troubles"....
Her troubles, his troubles a lot of trouble, in depth trouble
are all possible. I don't get your point!