Are you sure you need 5Amps at 5 volts? That is 25 Watts of power.

And about 35 Watts of power loss on the Linear regulator. This means that you will need a monster heatsink like intel CPU with a fast spinning fan. Not anything close of what you posted.

Better use seperate linear regulator as amgen said for the PIC and a switcher for the power hungry LED and Displays.

Or check these:

Vin 4.5-24, Iout 3A: https://www.ti.com/product/TPS56339

Vin 4.5-17, Iout 5A: https://www.ti.com/product/TPS565208

Following the design examples you may have less or equal to 20mV noise. For me good enough even for PIC using ADC.

Ioannis