I have the same petrol gauge fault on my 2006 S Type, it is an inherent fault on the S Type Jag. The dashboard cluster is Ford in origin. There is a company in Waterlooville, Hants called Cartronix who specialise in repairing dashboard clusters in a all vehicles. Cost is £150 plus £40 to remove and replace it. If you replace the cluster cluster with used one it has to recoded using Jaguar software, can be expensive and the fault will probably re-occur.