While you provided connections for serial upload, you did not provide a means to reset the controller to activate the bootloader to do said uploading. Typically, it’s a 100nf cap connected to the processor reset line so the serial adapter can reset the processor under program control to invoke the bootloader. All of this assumes the atMega328 was flashed with a bootloader prior to installation on the board. It’s more common to bring out the ISP signals in a six pin header for all uploading via a Usbasp or stuff a usb to serial converter on the board for convenience. Just to be clear, are purchasing preloaded ‘328’s? If not, you need the ISP pins brought out.
What kind of signals do you intend to measure with the ads1115? A non-changing dc level is all you’ll be able to handle with the huge 470uf cap across the input. L1/L2: An inductor should have a value in Henries, 100 ohms is a resistance value. Typically, the inductors would be before the cap but I question the entire input configuration on the ADS1115. Please elaborate on what you’ll be measuring since that configuration is downright odd.