Do I care about what others are thinking about me?

The short answer is this: NO.

When I was younger, I was very self-conscious and was very concerned with how others perceived me and what people thought of me.  I have always tried to be a good person and a good friend to everyone I come in contact with, and took it very seriously if someone did not think well of me.

Now that I am older, I have realized that in life, you can put your best foot forward for people, and they will still find a reason to see the wrong in what you do; or only see the negative things that you have done.  They will not praise you for the good things you have accomplished or remember you for the good person that you are.  What I have learned is that you cannot put all of your energy into trying to force people to think highly of you, because sometimes people will not do so.  Therefore, I do not care what people think of me, as long as I know in my heart that I have done right by them and shown them the utmost respect.

You should not care what other people think of you, especially if you are treating people with respect and dignity that they deserve.  People will always have their specific opinions about you, no matter how you treat them.  The only obligations you have in life is to treat people the way you would want to be treated in life and hope to receive the same in return.