The pedal travel issue could be a couple of issues where the shoe adjustment is off so the shoes have to travel too far to contact the drum causing them to grab instead of slide on the drum surface , it could also be the pushrod length causing excessive travel before the master cylinder us depressed to apply fluid pressure to the shoes to contact the drum .
The lock up is either the oil contamination on the shoes causing them to grab rather than slide on the drum surface , or the proportioning valve is not working correctly balancing pressure to the front & rear correctly or more likely the car came with 4 wheel drums & has been converted to front disc brakes but still has the 4 wheel drum proportioning valve allowing too much pressure to the rear brakes , this can be solved either by using an adjustable proportioning valve , the correct drum / disc proportioning valve or using different wheels cylinders to reduce the pressure for the drums