You can set the 3000 to wake-up via motion sensor. - Hold the main button down until the menu comes up and change the "Pickup" sensor to on.

No there is no way to have the 3000 execute a command as it wakes up. It's a computer in standby mode. It takes a short second to wake up.

No adjustment exist for button selection speed. This is the first I have ever heard of it being a problem. You can hold the button down for continuous or multiple execution.

I have the same missing number issue at times with my Fav macros. putting in delays between number usually goes along way to a solution.