Greetings Ponmanatee! It is possible that the mononucleosis germs can be shared that way. The germs can be shared with eating, drinking utentsils, with a drinking fountain, kissing, and toothbrushes. In general it is a good idea not to share linens, towels, hats, clothes with others either as there are other things a person can catch or share that people in general do not want.
Bay leaf tea was used in times past to prevent small pox when an epidemic was present. Personally I would use bay leaf tea every 6 hours around the clock for around 10 days. Then I would use golden seal tea every 6 hours around the clock for another 10 days. These are antiviral herbs. A professional may prescribe antivirals for some viral diseases but I am not sure if this is done for mononucleosis or not the pills usually used often have unwanted side effects. Of course everyone is in charge of their own healthcare.
The symptoms may start with fatigue and also have a headache, sorethroat and maybe fever. These are things to watch for. Extra rest may be prescribed by the health professional. There is a blood test available for mononucleosis. Peace, sjb