Grounding is absolutely required if those switches are replaced.
If possible, remove the wires from the back side of those switches. Sometimes the "backstab" connectors won't release and it's necessary to cut the wires as close as possible to the switch. After that, throw out those switches because they aren't legal anymore.
Remove the wire nut from the ground wires, add green or bare pigtails to both new switches, then reapply the wire nut. If there are too many wires to fit properly, you might need 2 separate nuts for the ground wires and an extra pigtail between them.
Also, the humidity sensor requires a neutral connection. The white wire is absolutely required here.
Your other wire IDs seem reasonable, as long as some effort is made regarding safety and double checking the results.