Yeah that does sound like a bad week. Id recommend some products to use but Im not sure how availble they are in the UK. If you have any animals dont handle them after you clean the cage. I believe F10 is just a cleaning agent that you can use to clean the cage after "nuking" it. Either or whatever chemicals you choose to use make sure the cage is completely aired out before putting your ball back in. When you dont see anymore mites dont think they are all gone. There could still be eggs elsewhere that will be back within days so dont loose focus on cleaning the cage. good luck!
However if these products are available this is what Id recommend-Pam (provent a mite), and reptile reliefe.