Thanks for the suggestions everyone!
Here is the latest...
Replaced the corrugated tee with a sewer clean out.
Caulked the connectors and rechecked for leaks.
Filled the tile from the tee to the outlet and let sit for about 10 minutes and no signs of leaks.
Screwed the plug into the tee and opened the outlet.
Same results... ran for about 5 minutes and died.
Here are some pics of the setup:

And the back side:

Here is a shot of the washed out area around the overflow that needs repair;


Should I just bust the dam and let her rip? I am afraid that when we remove those trees that are directly in front of the washed out area it may give out anyway.
Just wondering....
T