Hi Serg,
What errors are you experiencing? Although we don't test under Parallels (or BootCamp), and don't provide support for it, we do have a number of users who use ReefMaster successfully on the Mac.
I would also recommend updating to the latest version of ReefMaster, v1.8.41. If you cannot start ReefMaster to use the update function, you can simply download the latest version from our download page and install over the top of your current version - this has exactly the same effect as updating and will not result in a loss of data.