Bipolar ex is ensuring life is hard for me and the system doesn’t care!

I ahve been in volatile relationship which my ex partner uses her bipolar diagnoses to excuse her behaviour of phoning every work place ive been employed making false allegation anonymously because i work with vulnerable clients and laughs about it ect this was while i was trying to make it work,

since break up staying sofa surfing family friends i aquired a rented property so i could have my children stay three to four nights a week this wa by her request or i couldnt have access to my children unless i moved back in with her.i am on minimum wage and was barely surviving but wasnot concerned as i could have my children regulary so was worth the financial hard ship,
imagine my suprise being contacted by cms to say they have been informed by my ex that she has made a claim against me stating i dont have them ever i dont visit ect demanding £67 a week out ny £190 wages unable to eat one paid rent ,council tax ,electricity or gas firstly taking money on tax records from a previous job a year and half ago stating it doesnt matter about my circumstances or accommodation ect and workout payment on income before taxes thats it.

i tried reason with ex partner especially about lies that i have no contact or shared care,she laughed thought was funny considering she will change her mind in few weeks and blame her condition once again she sent police to my door saying threateninh her life believe me messages had got heated due to her saying if i went to court for visitation rites she would say i was a child abuser and never have access or work in chosen career with accusation made of that nature police not interested in slander or hundreds of text i recieve trying to bait a response

what do i do if try and keep accomodation knowing she will change mind in few weeks and blame her condition i will probably lose accommodation because of arrears if give up accommodation my local authority has no duty of care to rehouse me if go back to sofa surf around family or friends she will not let kids stay with me when she changes her mind again. i have no issues in supporting my kids but at what cost lose house lose job lose all self respect and give her amunition to poision my kids your father has nothing no job no house ect .wheres fairness in the system.