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So, working with Tech. Support over the last couple days, we were able to isolate the underlying issue and I've worked through the problem.
The bit of information I was missing/didn't know was the fact that when a WHD Administrator opts to modify the "Setup > Tickets > Status Types > Options" and assign particular Status Types to "Needs Approval Status Type" and "Approval Denied Status Type," it removes those as options for Technicians to use manually. So, to get around this, I created a new Status types for each of these two options and once I released "On-Hold" and "Resolved" from that assignment, they returned to my Technicians.