statute barred debt & open account on credit report

I have just checked my credit report and have noticed that there is an open account with scottish power showing with a default for a previous property I moved out of 7 years ago. The default is due to drop off my credit report next months. However, scottish power have never tried to contact me about the outstanding amount nor have I acknowledged it since. However, for some reason the entry is showing the balance reducing by over half in 2013. I never made any payments as I wasn’t even aware the debt existed!

Will the account with Scottish power be closed now that it is statute barred or will they continue to log it the balance on my credit report each month? if they do can they continue to report the statute barred debt?

I am worried that an open account will continue to harm my already bad credit score.