Answer: No, the figure is not unique.
Reason:
The phrasing "at least 2" means "2 or more".
If the quadrilateral has exactly 2 right angles, then it could be a trapezoid as indicated in figure 1. Or it could be a kite shown in figure 2.
If the quadrilateral has exactly 3 right angles, then the 4th angle must be 90 degrees as well (since the equation 90+90+90+x = 360 solves to x = 90). This leads to either a rectangle or a square.