If you are able to sleep on a plane it might not be too bad, we only managed a small amount of sleep. We arrived into Heathrow at 5.30am and after collecting our hire car travelled to our home town arriving just after 9.00am. We had a few things to do and managed to get most done in the first day. We met family in the evening and got to bed about 11.00pm. The funeral was the next day and we lasted until 8.30pm before having to go to bed. On the third day we managed to catch up with one friend and finish the things we needed to do before a family meal in the evening. We then travelled back the next day. Three days flew by and both of us didn't feel too jet lagged. The flight back seemed to drag and the jet lag really hit us once we were back in Perth.
On reflection we would probably look to do a one stop flight in future, even if only a short stop, to break up the journey. At times we were looking at our watches and realising there were several hours to go. With a stop you can break the journey into smaller time segments in your head. 9 days may be tough to get a lot done but it all depends on how well things are planned.