LT 1500 means nothing to a technican .
Your mower could have been made by Murray, MTD, Husqvarna if recient and a dozen others if it is a bit older.
We need the numbers off the sticker under the seat to give you detailed instructions
You tested all these things ,,,,HOW ?
If the starter motor has voltage all the time, it will turn all the time.
When did this start to happen & want was the last thing that happened before the poltergeist took over your mower ?
for a circuit to work it has o start from one side of the power source ( battery or alternator ) and go through to the other side.
SO you can put a switch between the + and the item or between the - and the item , the results are the same , but taking voltage readings can be confusing if ground switching is used and mowers use a lot of ground switching.