We are still struggling with the biting also. It is getting softer. Christos is in daycare several days a week so he is learning some bite inhibition thankfully. But he still thinks I am a chew toy and I will wrestle with him so long as he is gentle. he has not broken my skin in quite some time. LOL. Like you we have only had him about a month. He was born June 1st.
He is also learning from our two older Boxers and they are much more accepting of him. They even intervene at daycare if they feel another dog is getting too rough. The trainer said one of them will walk between our puppy and the other dog to separate them.
Ours also hates his collar and scratches at it. He also chews on his leash. We try to teach him to leave it/drop it but like you said he is obsessed with it. A company called Pet Edge has a leash that is laced with hot peppers inside to stop dogs from chewing on it. I am considering it. I know your can use Bitter Apple or Chew stop but that requires constant spraying. We had a Dalmation that loved hot peppers and lemons. Go figure. You never know.
In the meantime, we will continue with learning basic commands to leave it. It is both frustrating and adorable right now. Hopefully he will learn before it becomes annoying or expensive. Basic obedience is so important. And he is just a little sponge right now. At home and in public he is doing well with sit, down, stand, watch me and touch. I hope to be able to compete in something with this boy. I just dont know what yet. All I know is that I want it to be fun for both of us without the politics.
Cant wait for another update
HI! Our girl is shy 2 days from hitting 11 weeks.

It's been interesting watching her grow up so fast! Her legs are starting to sprout and she definitely keeps us running.
You should try reading from this site here. I'm reading a little from The Culture Clash by Jean Donaldson and it's actually helping us. I haven't delved too much into it due to the craziness of the day :d
Or even this site has help tremendously.
Puppy Bite Inhibition | Teach puppy not to bite
Teaching Bite Inhibition - Whole Dog Journal Article
Our pup is quite ADD, especially when I get home haha

Best feeling to come home to her and just get kisses!
We have been using pea sized pieces of chicken breast & tiny pieces of freeze dried beef liver to train her and she actually responds better to these "good girl" treats

unlike the biscuits. We used repetition over and over until we thought she had selective hearing
.....It's starting to pay off whhhheeeeew! We always have a squeaky toy on us and redirect or when she gets a bit too much we both lock ourselves in a room and talk loud but out of her reach. She hates us leaving her alone and the biting has toned down quite a bit compared to when we first brought her home.
The leash part we still have a bit of a problem with since we don't technically allow her on walks since she won't get her last set of shots next week. We leash train her in the backyard and she'll chew & pull hard on the leash but we've figured out if we distract her with treats (again- tiny tiny pieces of chicken breast/chopped up BLUE salmon treats/Freeze-dried liver) and make her do simple commands on walks, it makes it easier for all of us. She thinks she's getting rewarded a lot of "good girl" treats except they're TINY

no upset stomach and do diarrhea everywhere!!
We have bitter apple and we use it on the bottom of our couches and it works really well! Oh and also on her training pads. She used to tear those things up but not any more :D
We're still working on leave it but our girl is just a mess because she thinks it's all a game for now......eventually right? Patience is the key!!
She now understand sit, stay, come, and up.

hopefully we can start doing a bit more in the next few days!
hahah I was so afraid that she would love the bitter apple spray! Thankfully it didn't turn out that way!
If you have a facebook and would like to see a video of my little girl you are welcome to add me @ facebook.com/oanhis .
I haven't figured out to do videos on here yet so in due time!
Sounds like we're both in for a whirlwind of stuff while they hit their teenage years.