This is a complicated series of questions that you ask. I understand the financial importance, but the health concerns are far more important. Keep in mind that after age 12 palatal expansion comes with frequent relapse. In regard to the implants, I would place them after orthodontics, not...
Luke warm water is okay. Ginger and mint should be okay too. I'd be careful with something as acidic as lemon juice. Don't need to be dissolving your teeth.