i think knip says she's trained hers to crap in a cage.
Yup I have, ok so they live in the house but it doesnt make any difference, they used to be outside when I didnt live in this flat, and they were litter trained then.
Firstly the best piece of advice I can give you is to get him neutered as soon as possible, it will help his grumpiness more than I can say. All rabbits have in their brains is the need to mate, and so get very frustrated when they cant do that, and so take it out on the people around them. There is more than likely a lady rabbit somewhere in the area, and your rabbit can smell her, and is going mental trying to do what he is genetically programmed to do.
When you have got him neutered, then you can work on the toilet training, because he isnt necessarily urinated because he needs to go, hes urinating again because of part of his male tendancies to breed and in this case mark his territory.
You need to pick up his poo, and pop it in a litter tray, also try and spot when hes had a wee and get a bit of tissue and mop it up, and put that in the litter tray too. Line the tray with newspaper to help absorb the smell, and you can also get something called carefresh which is great for absorbing stuff too.
You will need to be persistent with this for a couple of weeks but then he will be fine. Seriously though, go and get him neutered because that will sort out most of the problems. I'd put money on there being another bunny in the area which is driving him crazy as he lives outside.
Shout if you need anymore help, have kept bunnies for years, and always happy to help others.

Edit
How old is he? Rabbits can live for ten years, and theres no point in me giving you any advice if your not going to get him neutered because thats why he is like he is. Trust me.My mum says we wont have the rabbit neutered as its too old and would be too stresfull.