Those diseases are also carried by any biting insect that is likely to feast on a rabbit.
We used the Insectocutor electric fly killers in out rabbit sheds as well a vaccinations.
I had to empty the dead insect trays at least once a week in the 20 x 40 shed that was a sealed air conditioned environment .
Be aware that the site of the vaccination can become a subcutaneous lump so do try and recall where you had the injection placed , lest you think it has developed rabbit tumours