Yes. Foreigners, including Iraqis, can buy freehold in designated areas only, under Dubai Law No. 7 of 2006 and Regulation No. 3 of 2006 which list areas open to non-UAE nationals.
Minimum is AED 2,000,000. You may qualify with one or more properties; mortgaged/off-plan is allowed if you show a bank letter and the paid amount. Application must be from inside the UAE.
Yes. Golden Visa holders are exempt from the usual 6-month outside-UAE limit.
Spouse and children regardless of age, plus unlimited domestic helpers.