Not a guru nor do I pretend to be, and my methods might not be “traditional” but in regards to horse body language and commands they are pretty “proper”. I had a horse like yours, on the lunge, that taught me a lot! Ditto to above, also try to teach him that just walking on the lunge is okay.
Do a few, at least 4 or however many it takes, lessons where all you do is walk, whoa, and reverse. Maybe try these lessons without a whip paying very careful attention to your body language, keeping your hands low, using your voice for commands. But don’t act “scared” still be the confident leader. If the horse raises his speed make sure you breathe, take a mini-mini step back and if he still doesn’t respond MAKE him whoa, and restart the exercise.
I use the word switch and point with my hand to teach to reverse, usually reinforcing with the whip to point the first few times. But any cue you pick should work for reverse. Don’t be afraid to drop and pick up the whip as needed, just go with the flow a bit.
If your horse needs a distraction to stay focused, add a few ground poles, make sure they are the kind that don’t roll.
Make sure you don’t time these little lunge lessons it could take him 10 minutes to an hour to get it. Obviously you don’t want to fry his brain or strain his legs going in endless circles though. Try to get the horse to move out away from your body, your end goal should be having his ultimate attention on a really big circle.
Once he gets the point of walk, whoa, and reverse start with walk, trot, whoa, reverse. Make sure you do plenty of transitions trot and then go back down to the walk several times in one lesson. Always end on a good Whoa, with the horse being attentive to you.
In the case of my horse, she need a LOT of reassurance, which is why she was running away on the lunge, she wasn’t confident. She learned that first she needed to respect whoa, and second if she had good manners, yes I would stop her give her rub and praise her. I overdid praising her with my voice on purpose, and it worked.
As soon as you get to a canter, don’t let him gallop, keep it at a controlled canter.
While this is often skimmed over I believe that it is very, very important to get the horse to canter from a walk. This gives you more control, and teaches the horse patience. Obviously he can’t be allowed to burst into the canter from a walk, but breathe count to three and ask for the canter, if he bursts away or acts silly, say WHOA make him stop, and go back to the walk. Try again in a few minutes till you get it right.
Also make sure you can get a “kind” cadenced canter out of the trot. Always end lessons that include canter work with at least three rounds at a walk, a whoa, and a pet or rub, and I used to keep treats in my pocket if my mare was acting sweet by the end.
While all may not agree, and each horse is different, I try to keep things simple. I used a simple leather halter, cotton longe line, and lunge whip-as needed. When my mare got a bit more advanced and attentive I actually added her regular bridle underneath the halter without the reins, with the line still attached to the halter. This was to teach her that when she had a bridle and saddle on it was still time for business, everything didn’t change as soon as I bit the bit in her mouth. Every horse is different though, and I am just sharing what worked in my case. 
Lastly, yes it’s going to take a while, it took me working almost every day for about 3 months to see remarkable results, and 8 months to get her to a point where she had super lunging manners, and when she has had a few weeks off, she still needs a few reminder lessons. Keep in mind that some horses hate lunging, and it bores them out of their mind, they would rather just go for a nice slow ride.
Sorry for the book haha 