Please Help: CAs in Partnership

Sans
Can you one please let me out of this doubt.

Well we are planning to float an Audit firm. Can any of us hold a proprietory firm registered under his name with the institute?
Also that can we apply individually for some audit assignments of our own apart from being a partner in a firm?
Please clarify about the full-time partner issue which the institute has been raising recently.

-Regards
SARMA