How do I let customers register to specific subshop and customergroup

I am building a webshop for a client of ours. He wants a main shop example.com and a subshop example.com/subshop for a specific customer group. He wants the people who register to the subshop that they are automatically assigned to the specific customer group. 

What I have done so far:

  1. Created a customergroup
  2. Created 1 subshop e.g. example.com/subshop
  3. Assigned the customergroup to the subshop in the subshop options
  4. Activated the option “Customer scope” for all shops

Problems:

  1. The subshop page exists, only when I click the account button it links to example.com/account and not to specific URL like example.com/subshop/account or something. This is what I would expect after activating the “customer scope option”. Now the customers register to the main shop instead of the subshop.
  2. I cant find any option to let the customers assign to a customergroup by choice or automatically, is there a way to let customers do this without to have to configure this in the backend.
  1.  Have you correctly configured “Virtual URL” for each shop? 
  2.  Handlers are registered at the following address    /register/index/sValidation/ H         I think you need to follow the same path…