Can one faulty fuel injector give p0300 and p0305?

It can. That car doesn't actually have a misfire detector. It just looks for irregular times between firings. Even a single cylinder misfiring can trigger the multiple misfire code in those Chryslers.

MODERN FUELS have PLENTY of DETERGENTS and CLEANERS in them by GOVERNMETN REGULATIONS! Yoru INJECTOR are made by BOSCH< the INVENTOR and PERFECTOR of INJECTION SYSTEMS! You problem wil lbe in the AIR side of your INJECTION SYSTEM, most likely, and in your OIL CHOICES as well! Take $20-40 to ANY OIL CHANGE PLACE and have them clean your THROTTLE BODY and IDLE AIR CONTROL VALVE to SHOWRoOM CLEAN! This will INSURE a proper AIR/FUEL mixture, as the IAC adds MORE AIR to the THROTTLE BODY under O2 sensor signals and COMPUTER commands! ONCE THIS IS DONE< get a FULL MOTOR FLUSHING and use MOBIL ONE 0W-30 ENGINE OIL! Change it ONCE A YEAR only! BAD CHEAP WAX BASED OIL makes SLUDGE that BAKES into engine sensors, and even in the CONVERTER! Once you GET THE IDEA, SYNTHETIC OILS will SAVE YOUR HIDE! DO NOT RELY on VISCOSITY RATINGS! this is where most OIL CHANGE CENTERS fool EVERYONE! It is FAR more important to read SPECIFiCATION NUMBERS and the ILSAC< JASO< and ACEA ratings posted on OIL LABELS! SEND ME FIFTY dollars for this info as you wil NOW SAVE TONS in FUEL COSTS andmy porr fingers get TIRED of typing the SAME THINGS all the time! USE BOSCH or DENSO iridium spark plugs to get 20% MORE PWOER, economy and LOWER EMISSIONS! they are WROTH their wegiht in PLATINUM and IRIDIUM!