My two cents
$0.01- That's not a lot of staff or patients for 5 providers, so either the providers work at the hospital part-time or your job security is tenuous.
$0.01- There are too many variables, as in how new, stable are the hardware, software, interfaces, and all the permutations thereof? Is there someone else at the office who would think to try rebooting the computer? How much change are the providers wanting, planning? Do you program? Are you transitioning from any legacy software?...
I would start writing down everything you do with durations, and come up with a detailed job description.
The main justification for your position is the zero wait time and minimized loss of productivity for the staff and providers. We can wait days for some problems to get fixed, and then find out after he's gone that somethings not right, so add another day or two if he is busy.
