H1B Non cap to Cap transfer

[farhan93]

I have a H1B from a university filled under non cap expiring at the end of this september. Now I have an offer with a company which need to file/ transfer my H1b visa. I have the following questions.

1. Can the company transfer my H1B?
2. Do I need to be counted to the cap?
3. When can i start working with the new company?