Keep the trans service up. Get the trans cooling system back up to working order. You should be fine.
Now on towing do not tow in OD at a light throttle settings. If you not at half throttle or more. Drop out of OD. Your T/V cable (kick down cable) controls line pressures. Do not tow in OD with low line pressures/ low throttle setting. It will take out OD clutches due to those low line pressures. .