Some times we add some comments in questions or answers, how can one view his comments and votes if any user up voted the comments like?
The quickest way to see upvotes on comments is to use the old API call (there is a newer version of the API, so the older version may eventually be deprecated).
http://api.stackoverflow.com/1.1/users/<your user ID number from your profile>/comments?sort=votes&min=1
will display all of your comments which have a score of 1 or higher (change
min for your specific query). The result comes back as JSON, which Chrome can display directly, but for IE/FF you used to need a plugin.
how can one view his comments?
Go to one's profile --> Activity tab --> Filter comments
how can one view his votes if any user up voted the comments like?
As I know we can not see where we voted comment.