Thank you again for all your replies and bearing with me! 
Btw, my main concern is powering the LED bulbs.. And is connecting the bulbs in series and use MOSFETs for every pin the only option here? Also, won't MOSFETs overhead or something?
ADDED:
My main goal is to create something like this: CLICK TO SEE VIDEO
But for now, only on the rear bumbers. Here's the image again.
This is exactly the same car model as mine:

INTP:
I didn't see a video link, but anyway, I don't understand your concern or even belief about lifespan of smart LEDs. They'll outlast your car's 'off-road' use timeframe.
Here is the video link:
I like the colors and looks of the 5mm LED bulbs more than LED strips.
lastchancename:
Actually (I) wouldn't do that.
The on-board regulator provides you with an extra layer of supply protection.
I'd rather get a clean +9-12V (nominal) into the +VIN pin, and go from there.
What do you mean by clean? What do you think about this buck converter?
https://shopee.ph/Super-mini-Step-Down-buck-3A-DC-DC-Converter-Power-Module-i.31595899.475167820
lastchancename:
For the block of LEDs, I'd use a similar arrangement (bulked up to support the higher current needed)
Similar arrangement as mine? Or as sent by DVDdoug?
Here's the link: Gammon Forum : Electronics : Microprocessors : Driving motors, lights, etc. from an Arduino output pin
lastchancename:
Finally - I'd seriously look at the WS281x LED matrices. Easy to develop, and all the brains are within the actual LED chips.
And as I mentioned above, I like the colors and looks of the 5mm LED bulbs more than LED strips.
MorganS:
The onboard Arduino regulator is unsuitable for the automotive electrical system. That 20V rating is not actually good for 20V. Even 12V without all the nasty surprises can cook the Arduino's regulator under the wrong conditions.
Agreed, that is why I am planning to use a step down 5V buck converter and plug it to the arduino so the arduino's regulator won't get overheat.
MorganS:
This project is looking to supply many LEDs from that 5V supply. That's exactly the wrong conditions which will cook the Arduino's regulator.
Nope. As like on the circuit I showed on my original post, I am planning to connect the LEDs in series and connected to the car battery and control them via MOSFETs.
MorganS:
The easiest way to get an automotive-rated 5V power supply is to use a phone charger adapter. $5-$15 at your local discount store will get you something good.
Sure, I can do this if the buck converter is a risk. I can get a really long usb cable and connect it to the cigarette lighter inside the car. But I always prefer to keep it clean and hidden that is why the buck converter crossed my mind.
MorganS:
The brake lights connection is much simpler than a power supply. Two resistors configured as a voltage divider will work quite well. A 5V TVS diode or BAT16S shottkey pair after the resistors will protect the Arduino input from problems.
Great, thank you for this. I should be able to do this without a problem.