QPSK on baseband question Given a signal you are asked to perform baseband QPSK (not on a
  carrier).


Does this mean the following? 


In baseband QPSK the (possible) constellation points are $$\sqrt {E_s} e^{jn \pi / 2} \qquad E_s = A^2 T_s$$


and the frequency response has delta functions placed in the origin


In QPSK modulation on carrier the (possible) constellation points are $$\sqrt {E_s} e^{jn \pi / 2} \qquad E_s = \frac {A^2 T_s} 2$$


and the frequency response has delta functions around the carrier frequency $\pm f_c$

Am I correct?
Yes, you are correct, though your formula puts the constellation points at 0, 90, 180, and 270 degrees, where usually the constellation points are represented as being at 45, 135, 225, and 315 degrees.  Functionally it is equivalent though.