It depends on multiple factors, such as: the type of company you have, the nature of business, nationality of the shareholders and business model. Average time may vary from 2 weeks to 2 months.
All UAE banks have online banking and even mobile banking. You can operate your account through the Internet from any place of the world.
It depends on the bank. Minimum deposits start from 25,000 AED (6,850 USD) and go up to 500,000 AED (137,000 USD).
The following banks open accounts of UAE offshore companies: Mashreq, NOOR, Emirates Islamic, RAK BANK.