Back again, that's so exciting!! and your horse sounds like you'll have lots of fun with him once you start to learn to work him on your own!
I can totally relate with the non-horsey parents thing - I started part leasing a horse a few weeks ago and my Mum is only just starting to speak to me again. She disapproves of the whole "horsey" thing, and thinks I should be putting ALL my money into saving for a house!
One tip for you: get a notebook and keep a log of your riding - date and time, length of session, as well as how the horse went, and what you feel could be improved on and ideas of what you can work on next time.
It's also nice, when you've had a bad ride to look back and see how far you've actually come!
But Congrats on your new part lease and I hope you enjoy your new buddy! :)
(what's he called?? do we get to see pics??)
Please excuse my spelling/grammar mistakes, I'm British.