Wow, those blocks were hard to read, but yeah, I agree with the a lot of the others here. It sounds like the GM doesn't understand what drones are for and how they can be used.
It also sounds like you shouldn't approach problems in this way or you'll end up making the situation worse for yourself.
As LittleMissNaga says above, present some hard rules evidence of what your character is capable of doing with your drone. There are plenty of rules relating to what actions you can take with your drone and how long they take/which ones it can do without direct control. Make sure you cover several scenarios with direct rules references to back you up.
If this GM truly plays hard by the rules, then he'll appreciate solid rules references.
Lastly, I'd put this particular incident behind you, frustrating as it may be right now. Don't let one stick up ruin the enjoyment for you and your group!