Working backwards -
3. Yes. In order to get a FAA CFI you must hold a FAA commercial with an IR. For the FAA commercial you need 250 hours total time and the FAA private. The good news is you can get the FAA private based on your CAAP license. So you would have to pass the FAA IR written test and checkride then pass the FAA commercial written and checkride. Finally you would have to pass the FAA Fundamentals of Instruction written and the CFI written and checkride.
2. Yes
1. When you have picked the location you will train at you can begin the process of having your FAA private issued.