Is the remote start a factory item or an add on?
As a test of the entire starting system to be sure the starter and wiring isn't the issue here is a simple test. Go to the junction box by the radiator and pull the starter relay. Look on the relay to identify the terminal locations. Take a test light and connect it to a good ground. Use it to probe terminal 87. This is the power feed to the relay. The light should come on if the wiring and fuses are good.
Now have someone turn the key to the start position and check for power at terminal 85. If the fuses, wiring, ignition switch and park/neutral switch are all good the light should come on.
Now swap the test light over to battery positive. Now touch the light to terminal 30. If the wiring through the starter motor is OK the light should come on. The starter may even come on but it's doubtful.
Next have the key held in start and test terminal 86. The light should come on if the PCM is getting the start signal and is grounding the relay. If one of them fails we have a starting point. The last part of the test is to take a jumper wire and jump from terminal 87 to terminal 30. This should energize the starter and crank the engine if the starter and power through the system is good.
The fuel side is a bit more complex as it uses a fuel pump driver module instead of just a pump and switch. For it a scan tool is the best way to test it.
You mentioned the fuses seem fine. Take the test light and use it on the tabs on the top of the fuses with the key on. Be sure to test the fuses in the front fuse box under the hood as well as the box under the left side of the dash. Any fuse with power should light at both ends. If you find one that only lights on one side change it out as it's blown.
Let us know what you find doing these tests.
Image (Click to make bigger)
Wednesday, November 20th, 2019 AT 11:03 AM