PIR driving TIP120 goes high when the TIP120 is powered

So, firstly, three replies... thank you! Its going to take me some time to research and fully understand the replies. I'll try to give some of the comments/questions.

Q1a.

Q1b.

A1. Honestly, I don't know. I've heard that a capacitor b/w power & ground will stabilize your 12v source, but, now that I apply that logic to my schematic, it's clearly not b/w power and ground. I'm going to investigate this, but clearly it seems I've made a mistake.

Q2.

A2. Can I still use this transistor to step up the current to my light or is there a better one out there for my PWM purpose?

Q3.

A3. Okay, so don't be mad, my schematic was wrong, it's actually D9 that I was connecting to :grimacing:

Q4.

A4. I'm having trouble following what it means to have an open collector output and what the implications are. I can research this, though, thanks.