Are you sure the starter is re-energising or is it just still running?
Aren't some glow plug relays timed, as in they stay on for certain amount of time even if engine is running.?
It is an actual Land Rover part which isn't cheap for what it is. My son has one on his Ninety, I quite like the look of them but in reality are probably pretty useless.
I've had a go at the rear suspension bushes and ball joint. I last did them in 2013, so they've been good for 12 years.
I did a whole thread on this in the autumn of 2013 so I shan't repeat it here. Plus I forgot to take very many pictures...
Why don't you draw a picture of exactly what you have wired to where for better help?
It's taken 2 pages for you to tell use that you have fitted a fuse and relay.
Don't presume the new battery is any good, I had a Bosch one which failed within a week.
If you have a flat battery, jump it and leave it running with the charge light on it will still be flat, well flatter, than when you started it.
All of which have potential to go wrong, unfortunately.
It's a job I would try and avoid if possible, ok you're not going to do it for the sake of it but you know what I mean.
I would suggest you get underneath and physically check the propshafts.
Even better take them off and check them, do you ever grease them?
Take one off and drive it in diff lock see if the noise is still there.