Dot:
No matter how hard you might try, she is not allowing you to perform while you are sick. Instead, expect to be locked in your room with her coming in to check on you after each performance. She usually keeps you up to date with everything while you are sick.
Pip:
Considering the fact that you visit the casino every day, you not being in the crowd would scare him. So he would try and find you to ask what is wrong. Once he knows that you are sick, he will cheer you up before leaving for another performance.
Chips:
He would make sure that you are alright through your shift, making sure that you rest every now and again along with making sure you stay hydrated. After work, he would make sure that you stay in bed while he does everything for you.
Wheezy:
He would make sure that you didn't overwork yourself by staying near the bar for the rest of the day. If you start looking or feeling worse, he will send you back to your room so that you didn't collapse. Movies and cuddles are nessicary after work.
Pirouletta:
You still have to work since you are one of the only guards there but she will keep an eye on you. If you started to look as if you might faint, she will be the first to rush over and help you out. After work, you would be sent to bed.
Mangosteen:
You wouldn't be at the casino and neither would he. He would be at home taking care of you and doing whatever you desired. He would stay by your side to make sure that nothing to bad happened.
Hopus Pocus:
You would be sent right to your room if you figured out that you were sick. You wouldn't even get a say in anything. He would continue to work while you were stuck in your room. After work, he would take care of you with some weird remedies.
King Dice:
He would get someone to cover for the day so that he could help you out. In the beginning of your sickness, he would watch you to make sure that you slept. Towards the end however, you two would cuddle up and watch movies together.
Devil:
He would have his demons keep an eye on you while he continued his day. He wouldn't visit you or anything so that he wouldn't catch it (even though he is the almighty Satan himself) After your sickness is gone, he would send you back to work.