Well, if you bought the inverter less that 1 year ago, you are in luck. If it's less than a year it's for the manufacturer / company you bought the inverter from to prove that the inverter was not faulty rather than for you to prove it was faulty. This may sound a little irrelevant, but its key. They are responsible for putting you back into the position you were I. Before the inverter failed. If it's caused a problem with the motor, it's down to them to repair.
What to do, well look on citizen advise web site for exact details, but, in principle you need to write to them stating your case, what has been damaged and what you want doing about it, you need to be reasonable and give then a time to resolve the issue. If you have done this and get no joy, take out a small claim through the online service. It's very easy, cheap and you don't need a solicitor. Its biased towards the consumer and s such, it's very easy to follow. There is lots of online advise in the small claims web site. It may take a while, but you are from what you have stated highly likely to get a satisfactory result.