I have seen that happen on vehicles with a plugged filter. When the engine is turned off, the debris drops into the pan, and the transmission works for a short time until it sucks the dirt back into the filter, but you already replaced the filter. I feel it is something to do with line pressure. The only part I'm not sure of at this point is this. Reverse takes the most pressure to operate and functions from the same clutch pack as first gear. It's referred to as the low/reverse clutch.
If I had your vehicle, I feel the first thing I would check is the line pressure. If it's low, we need to determine where the problem is.
Do me a favor. Please confirm if this has a 4.6V8 or a 5.4V8. Also, let me know the condition of the fluid and filter when you changed it.
If you look below, the attachments are the directions and pressures for testing line pressure. They are for the 4.6L V8. If that isn't the correct engine, let me know. The pressures appear to be different.
Let me know your thoughts and if you feel comfortable performing the test below. Hang in there. We'll figure this out together.
Take care,
Joe
See pics below.
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Sunday, October 10th, 2021 AT 6:52 PM