[AUCTeX] basic customization questions

[ivo welch]

dear auctex experts---forgive my beginner's questions.  I read the manual, but did not find answers.  I primarily care about filling(formatting) and coloring.  (I don't care about inserting with abbreviations and about executing tex.)  are there hooks that a user can put into the .emacs file to

* designate a myequation environment to be like the equation environment ( \[ and \] ), which would thus color its contents in red?

* designate  a \m{ } macro, which is like $ ... $ (inline math), and again colors its insides in red?

* designate .tex files that start with a string (e.g., '\mychapter') as latex?

advice appreciated.

sincerely,

/iaw