Honda key fob? There isn't one for the pre face mate. Must be aftermarket. You should just have a key with the honda logo on, and the fob used to lock and unlock/ turn alarm off will be in the bit you've misplaced....which is aftermarket. And without details and code numbers etc it's going to be a pig to get a new one.
Just the key itself should still get you in and out of the car. But the alarm will sound. That silver thing you describe is useless without the fob you have misplaced unfortunately mate.
As for the power fold mirrors on your key fob, im pretty sure that would have been adapted to make happen, to fold them normally its just a button on the door card near the window switches....sounds to me like the alarm guy has wired that in to the fob, but unsure on that.
Sorry its not an easy answer bud, alarms are confusing. If they weren't they would be null and void. Lol. Is there any paper work which you have regarding the alarm when you purchased the car? Or was it a fresh import? If it was the second, you may be able to call the importers for more info
