I have a suspicion that my employer is misusing their work monitoring and remote access software to check my online activity outside of work.

I have the software installed on my personal machine as I occasionally work from home and require remote access to my work PC. I am worried that they are illegally monitoring me, do they have the legal right to do this? 

If they were deemed to have been snooping on my records illegally, what would the implications be if proven guilty?

Many thanks in advance.