I'm assuming you have the 2.4L 4cyl based on the fact you've checked the
EGR valve.
P0125: You'll want to check your thermostat and coolant temperature
sensor to be sure they're operating correctly. This code could be caused
by low coolant, a stuck open (or partially open or incorrect) thermostat,
or a malfunctioning coolant temperature sensor.
P0171: This means that the fuel management system needs to keep injecors
open significantly longer than it expects for the oxygen sensor to read
correctly. This could be caused by a vacuum leak, misreading air flow
sensor, or most notably a misfire, among many other things. See the
description of P0303 below.
P0303: Check your ignition components on cylinder #3. Check the plug for
carbon tracks or wear. Replace the plugs as necessary. Inspect the wire
for evidence of arcing. (I don't recall which two cylinders have coils on
them, so there may be no wire to check.)
P0705: This is typically caused by a misadjusted trans range switch or an
intermittently shorted or open switch. Replacing the switch on nearly
every vehicle I've encountered has solved this issue.
It's probably in your interest to nose around the service information at
www.hmaservice.com. There's a lot of info there which you may find
helpful.