YES SEND IT TO THE LAWYER AND TAKE THEIR ADVICE.
Christ this is infuriating. I've been an HR partner for 20+ years. I've been on the other side of this situation multiple times. So for the third time, do yourself a favour and take legal advice.
I've obvs had a few other things to sort out in the last couple of days as my life's kinda been upturned but if you can recommend a lawyer other than the one she has sent me details for then please send over via PM if you like?