Now it starts to make sense
I don't know HFSS, but i would recommend you to seperately simulate the microstrips and check their simulated characteristic impedance against results based on standard formulas. I assume that the vertical metal walls with slots are structures that will be meshed also. Drawing microstrips that use a meshed metallic structure as ground may result in large inacurracy. I don't how HFSS handles this, so you may check the manual.
Electrically half wave slot antennas (narrow slots) tend to have high current density at the edges (because the edges are close together). To enable the simulator to simulate the current density gradient well, you may use a scheme that allows a denser mesh at the edges. It may not be a concern for you as the slot goes around completely (your wrapped around label). I know IE3D has a feature for that, but I don't know for HFSS.
When you change the meshing density (Cells/lambda) and you get different results, you can be sure you need to increase the cells/lambda, especially at positions where there is a high current density gradient.
You need to figure out many things yourself as vendor documentation mostly focuses on the good things of their simulator only.