Running TeX or LaTeX will only find regular errors in the
document, not examples of bad style. Furthermore, description of the
errors may often be confusing. The utility lacheck can be used
to find style errors, such as forgetting to escape the space after an
abbreviation or using `...' instead of `\ldots' and many other
problems like that. You start lacheck with C-c C-c C h e c
k RET. The result will be a list of errors in the
`*compilation*' buffer. You can go through the errors with
C-x ` (next-error, see section `Compilation' in The Emacs Editor), which will move point to the location of the next
error.