Do you mean that the total heigth for the antenna construction is just 1.6 mm?
I really doubt whether such antenna will have reasonable radiation efficiency as the loss factor for standard FR4 material is high, and height/lambda is too small. In addition "er" is uncontrolled so can be anything between 4 and 5.
You need to have air between the ground plane and the PCB. You may elevate the PCB (without ground plane) above a metallic ground plane. This reduces effective "er", reduces the dielectric loss and increases the useful bandwidth. The requried other functions (matching, splitter, delay line, etc) can be routed on a PCB that is directly on de metallic groundplane.
If the antenna needs to have good circular polarization across the whole frequency band, consider a wilkinson splitter with 90 degrees delay line to create the circular polarization. If the available height for the antenna is relatively large, you may get the desired BW (VSWR=2) with a single resonator.