To help you play the game well, there are a number of shortcuts you should learn. On the Patient Information Panel, you can click on the spy windows with the left mouse button to zoom to that patient, and then right click to cycle through all the other patients in the hospital. You can do the same with each type of staff and left clicking on the staff photo will take you to the Staff Screen. If you right click on either the emergency timer or the epidemic timer, you will bring up the Information Panel for the first member of that emergency or epidemic. If you keep right-clicking on the timer, you'll cycle through all those patients.
Epidemics can be a pain on busy levels.
Make sure that you can handle one before trying to cover it up. If it is a visual disease, then you may not have the cure machines for it. The same may be the case for emergencies. If you have an emergency of more than six for only one room, you will probably not be able to cure them all in time. Leave space for extra rooms.