Hello
First, I also had to give oral Baytril a long time ago to one of my monitors. What I did was buy some ground turkey, roll it into little meat balls, and hide the pill inside one of them. This had the advantage of getting him to eat, since he was real sick and may not have taken a big mouse. I made the balls small. Also, since he was housed with a hungry cagemate, I had the advantage of tossing little balls to the hungry one, to distract her while the sick male took his time eating his medicine ball. Since he had to have a pill a day, giving teeny amounts of food like this did not fill him up, so he was hungry enough each day to eat his medicine ball.
He got better fast.
About your sores and bad sheds...
Without someone actually seeing your setup, the most anyone on the net can do is guess, but here goes some guesses.
Sores on the back are most likely caused by your "fine temps and humidity". The fact you are so sure they are 'fine' means they are likely wrong, since you are a silly human, and not a monitor. How would you know what the monitor thinks is fine?
A spot used instead of a flood, or even a crappy flood that has a narrow beam of light can burn them. Also, a single bulb used for too large of an animal leads to burns. Two bulbs in a row are needed for any animal larger than an ackie. Three in a row is good for the real big guys. You said 'sore' and not 'cut' so I am leaning towards the heat lamp being the problem, and not cage prop injury.
Also, cuts and slashes heal great caked in dirt and given no treatment, if your monitor is healthy. Is your monitor as healthy as it could be? It isn't, if it has sores. Those would heal right up if the animal was up to speed.
And bad sheds are most likely a wrong temp. problem, and not a humidity problem like most people think, from what I have read on the subject. I also read perfect skin is an artefact of captivity, and not natural. Heh heh. Why are you worried about the shedding? Is it affecting the animal, or do you just think its ugly? (I think its ugly, I pick my animals all the time, I want perfect skin. Oh well,...)
Find out why and how he got the sores in the first place, or they won't go away.
Best of luck to you.
D.