Check the switch on the brake pedal that allows the transmission shifter to move into gear. If this switch/cable is broken the shifter doesn't know the brake is pressed so it will not allow shifter to move. It is a safety feature... a good one too.
Yes
It could
There is a speed sensor mounted at the hub at each wheel. The sensor may have been bumped, the mount bracket bent or, the wire was torn or disconnected it would cause a fault light to come on. Or, it could just be coincidence that the sensor went bad at the time of the axle replacement.
Yes it could.
this is caused by the sensor tripping in the light sensor to see what causes this you must diagnose it with a computer and see what fails in it.
No. If your vehicle can pass an emissions test, chances are that it's just a bad sensor.
Blown fuse, Heat sensor broken or disconnected, thermostat jammed
Check the brake fluid level in the reservoir there is a sensor there that will make the light come on if your level is low.
Yes, it is one of many things that can cause the check engine light to come on.
The ABS sensor was moved out of adjustment. all you should have to do is push the sensor against the tone ring
replace the cam positioning sensor
there should be a electronic plug on your gearbox, unplug that and screw out the sensor, but make sure its not the reverse sensor, if its the st or sport then its the abs sensor but that wil make you dash lights come on and show no milleage