Hi,
If the starter is engaging with the key in the off position, something is shorting power to the starter. That is a concern. The first thing I need you to do is remove the starter relay and see if that prevents the starter from engaging. If it doesn't, then we know we have a short to power after the relay. If it does stop it, switch that relay with a different one in the box having the same part number and see if it makes a difference.
Here is a link that explains how to test a relay and wiring control circuit:
https://www.2carpros.com/articles/how-to-check-an-electrical-relay-and-wiring-control-circuit
I attached a couple pics below. Pic 1 is a portion of the wiring schematic for the starter system. I circled the relay and to the right, it indicates it is in the under hood fuse box.
Pic 2 shows the starter relay position in the fuse/relay box. It is relay number 63.
Let me know what you find.
Joe
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Thursday, July 16th, 2020 AT 6:01 PM