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The only thing the two problems would have in common would be the main control seperator plate (could be worn or damaged Unless it is two seperate problems .
Did you check the fluid level that will usualy effect reverse first.
If it is seperate problems the reverse clutch could be burnt damaged or worn out.
Or the direct reverse servo o ring could be cut or broken.
Going with the two seperate problems the main control solenoid stuck, damaged, or solenoid circuit could be the problem. For late shifting.
Late shifting could also be a powertrain control moduel(blown fuse) or circuit problem.
A weak pump will cause both problems also. You could have low aplication pressures to the bands and or clutches.( you have to run line pressure tests)
If this thing sits for long periods you might try warming it up and flushing the trans (profesionaly) and see if that loosens up whatever is hanging (sticky check balls).
One other thing could be pluged filter or damaged some how.
The main seperator plate Pcm and pump pressures are what have to be investigated first then.
The easiest thing to check is the PCM fuse.