In case you need the inverse transform, you must split it up using partial fractions. After this do the polynomial division because you have s^2 in the numerator and only a first degree polynomial in the denominator. Then you can obtain the inverse in the time domain. It is an odd one. You will require a delta function and two exponentials.
You're not being very clear on this function. You should use parenthesis were appropriate. Is the function the following:
If so, you can rewrite it as:
With:
Now replace:
And obtain from this the absolute value and the phase. That should give you enough information to plot the bode diagram. It has been a long time since I've done this, so please confirm this with your textbook.