As Tillydog says, genuine rage is incredibly rare, and red cockers are generally no more aggressive than any other colour...
What you are describing is very common puppy behaviour - if you read some of the threads on the puppy board you will find many, many similar tales..
There seem to be several issues that need addressing here, so I'll try to seperate them.
1. General puppy biting - you mentioned this in passing, in that the other biting goes beyond this - how are you dealing with it? It is generally recommended to distract a pup with something they can bite, as biting is an important learning experience for pups.
2. Picking him up - sorry, but the simple solution here is don't pick him up - he is telling you he doesn't like it. If you need to move him regularly, you can attach a houseline, so you can guide him (combine this with a lure treat, so you are not dragging him). A crate shouldn't be used as punishment, so he shouldn't be going in there when he is "naughty" - a crate should be somewhere fantastic, that he loves and wants to relax in.
3. Putting on harness/collar - this is something a lot of pups struggle with. Try using treats (if necessary make it a 2 person job - one person feeds treats while the other puts on the collar/harness etc. In the meantime train a reliable wait - once this is solid, you can put one treat on the floor, ask him to wait, attach his collar/harness etc (while he is focussed on the treat) and then let him get the treat - we did this with Honey for months before she was entirely happy with being handled in this mannner. You should also get him used to being handled in general - when he is calm and relaxed, gently lift and look at each ear and paw, giving him a treat for each - he will soon enjoy this, and it will make grooming/drying etc much less stressful.
4. Getting something from him - again, don't make it a confrontation, or you will create a dog who will either guard stuff from you, or will eat items to make sure you don't take them away. When he approaches you with something in his mouth, tell him how fantastically clever he is (he's doing what he was bred to do - carry and retrieve), then get a treat and swap the item. If it's something that isn't in any way dangerous for him to carry, let him carry it for a bit - then he won't learn that bringing you stuff leads to him losing it! You can also, over time, train a reliable drop, so you won't always need to swap for a treat!
5. Your other dogs - he is still just a pup and is going to push their buttons for a while - they will tell him when enough is enough, but he is unlikely to learn until he is a bit bigger. Older dogs are generally very good with pups and will put them in their place as appropriate - unless your older dogs are really fed up, just let them tell him what is what. However, once he is an adult, there is no guarantee what their heirarchy will be - if he is a forceful personality, he may become "top dog" among your dogs (many people find one dog is "top" in one situation, and another is "top" in another, so it's not a static thing) - again, unless there are major issues, you are best letting them sort this out themselves...
Hope this helps!!