Where does the money come from? Operations, especially extended, are expensive.
Are donations deductible? Can people even donate to DRT? If so, is it considered "income" or will DRT be Non-Profit? In other words, corporate structure?
How do we limit liability to the organization AND the members?
What sort of certifications are necessary? Does DRT establish mandatory certification? Does DRT establish proprietary certifications for members? If the latter, who maintains records of certification?
How do we liaise (if at all) with existing/established organizations or command elements? Get caught in a secured/protected area and you may wish you had talked to someone before showing up. Think about those horror stories where local authorities have secured areas. If you're found there and don't have a legitimate reason (again, define "legitimate"), member may be held as a "looter" or "person of interest." Who, then, pays for legal fees?
Insurance issues (e.g., if a member gets injured/sick while conducting operations as a direct result of said operation), who pays? If the individual, will DRT require proof of insurance from each member to participate?
Membership: What is the DRT definition of a member?
Insurance issues: If a DRT member gets sued, does he/she enjoy any particular protection?
Logistics: What organizational equipment will be needed? Where will it be stored? How will it get to affected area? Who pays? Who pays for storage and insurance? Who is responsible for maintaining chain-of-custody?
Logistics cont'd: while deployed, how is the supply train maintained? How will DRT members be housed/fed/secured? How is this obtained? From the organization or does the individual self-supply?
Organizational structure: what sort of chain-of-command? How are people selected for established positions? How do you install/remove people from those positions? What are the job descriptions? Who decides appropriate duties/assignments?
Security: DRT will have lots of goodies. How will it protect those goodies? How will it protect the members? What happens if a DRT team is sent to Illinois and has to deal with a "marauding gang?" Firearms are heavily restricted (not even allowed to have certain types unless a citizen of the state, even then, they require a special ID and cannot carry a handgun. If a "curtilage" is established, they're not allowed to bring a firearm into state unless all necessary paperwork is authorized and completed).
I could go on.