No, a running motor after a jump doesn't mean the alternator is fine. The battery just needs to output the smallest of charges to keep the engine running. Only when you run that battery down to literally nothing, will the car not run after a jump.
I've literally run a car with a disconnected...
Pretty sure your transmission has issues...especially if it won't reverse. I really doubt an ECM is going to fix anything.
One thing you could work at is to get the wiring diagram for your car and focus on the P0757 code. I would check all grounds and power wires throughout the car as well as...
I agree. I wouldn't worry about it just yet.
But it does sound like the Pedal position sensor or throttle position sensor is going bad which makes sense from your symptoms and code.
Your Oil pan has a hole in it? Usually leaks are from the gaskets.
Not sure they look different to me. They are not oriented the same so it's hard to tell.
If the fuse is hot\warm hours after driving...pull it before you burn your car down.
When a fuse blows, do NOT replace it without checking that circuit. Fuses do NOT blow for no reason.
My guess is your heater motor has gone bad and pulling too much current.
You'll need a multimeter to make...
I got these from MazdaSwag.com and have not put them on just yet (2008 Mazda 3 w/2.3L). Here are the part numbers:
1F20-14-310D
Oil Filter Housing
$17.12
1
$17.12
LF02-14-342
Oil Filter Housing Gasket
$3.62
1
$3.62
It's probably not the cold air intake but those things are pointless on modern cars and screw with the MAF. If you have the original intake, I would put it on to rule it out.
The engine computer is saying you are getting too much air or too little fuel in the system.
Check all vacuum lines...
You can go to partsouq.com, put in your vin and start making a parts list from the diagrams. There is a lot of weatherstripping on these cars. You may not want to replace all of it.
Seems like a lot of people chase this sound. It's probably in the rear shocks or the upper mounts. The rear upper mounts are notorious for cracking. The shocks and struts seems to make noise when they get worn too.
If it's been doing this for 4 years and isn't getting worse...not sure I'd...