Hello
I did similar products related to raspberry pi before
My Offer only includes PCB Design , i will not provide any Pi apps (but it is available if needed with more cost & time)
What you get
1- Schematic + Layout + Production files (Gerber files)
2- BOM file & Supply Chain
3- Design consultancy if needed
4- Prototyping support & Production support (will guide you all the way to make sure there are no problems & to get the best market price )
I have few comments & i need to talk with you more to understand what you need
* Pi 3 already supports Wifi & Bluetooth
* If you need an Extra Bluetooth module why not use HC-05 it is more popular & cheap
* Why need display connector & video circuitry , Pi 3 already have HDMI Outlet , Sound, Input peripherals, USB ports all in the PI as-well , for sound amplification it is a true need
*safe shut-down circuitry , to have that you need a firmware on the PI besides the circuit is required , safe Power off only valid after PI shut down (It is a simple Pin flag to inform the circuit when to cut power)
* For a solid Pi application , you need to make the SD card Non Writable , other wise it might crash at some point & you will need to re-flash it
* Where is the 2 Elco connectors photos or links ?
* What kind of screen you are going to use (PI 3 is able to operate almost all kinds of Screens through HDMI & it support certain types though serial communications as-well)
I will be happy to offer you free consultation