Di na updated sa mga sound setups nowadays. So I'll have to pass on the what-I-can-recommend-part.
Since nakapagbisita ka sa L.A. Cars, I'm assuming na nasa Metro Manila ka. If then so, I believe you should at least make a trip to Banawe, Quezon City or to Jeff Tan's shop * Araneta Avenue. Banawe is famed for being a car audio mecca and both shops (
Araneta Avenue is just around 10minutes drive from Banawe) give a better discount (
especially sa Banawe.. agawan sila doon eh. I'd recommend C3, they're one of the best out there) compared to big names like LA Car Accessories or Mickey's Auto Sound.
I'd go for Jeff Tan. He's more accommodating in these first-time-setups than many of those in Banawe. Banawe's probably "cheaper" by a few hundreds, but it's not a very newbie-friendly place.
In fact, I'll highly recommend it

after a bit of chit-chat, your car sound audio knowledge would probably quadruple
A rough spend sheet would probably be:
Separates -> 5k (Morels come into mind)
Amplifier -> 9k (a JBL/SoundMagus/RF comes into mind 4-ch)
Subwoofer -> ??? (ewan ko kung ano yun space-saving. I'd suggest a Kicker or a JL Audio sub)
As for the subwoofer, you'll probably end up with two choices: a 10 inch one or a 12 incher. Go check their dimensions and choose the one you believe suits you most. Don't forget the box ;)
I prioritized the amplifier first rather than the separates. This way you have much headroom for sound upgrades if need be.
Good luck on the project!