Yes---could be a faulty Cold Water Valve (intermittently does not shut off during Rinse Fill).
<<<The washer stops during the rinse cyle and gives an error code ( FE ).>>>
<<<It has overflowed a couple of times.>>>
The washer overflowed several times---during *rinse*---or whenever the washer was being used?
The Air Tube is located at the top of the washer.
Remove the top cover (2 rear phillips screws/slide top cover rearward about an inch/lift off).
At the left/rear---you'll see a white plastic housing---near it will be the Water Level Sensor with a black tube on it.
Pull off the black tube and blow through it to verify that it is not partially blocked (may need a ladder or get behind the washer).
Run test---if the error does not return---you'll still need to "babysit" the washer for the next half dozen loads to confirm that all is well.
If the water is drawn from a well---most likely a failing COLD WATER VALVE ASSY.
Press and hold the SPIN SPEED & SOIL level buttons
Now press the POWER button---and release all three buttons
Wait for the door to lock (single click sound)
Press the START/PAUSE button 4 times at one second intervals
The Cold Fill for PreWash will be enabled.
Turn off the washer and immediately remove the Dispenser Drawer
Using a flashlight---verify that the water has completely stopped entering the Dispenser Housing (not even a trickle of water).
Repeat the TEST MODE ( Soil Level/Spin Speed buttons and Power Button)
Wait for door to lock
Press the START/PAUSE button 5 times
Cold Water Fill for Main Wash will be activated.
Turn off the washer and immediately remove the Detergent Dispenser---again verify that the water valve turned completely off.
Repeat the TEST MODE sequence
Press the START/PAUSE button 6 times (Hot Water Fill)
Turn off washer and check.
Repeat TEST MODE
Press the START/PAUSE button 7 times/turn off washer and check again.
Repeat TEST MODE
Press button 8 times/turn off washer and check.
In doing this---all of the water valves can be tested for correct function
If no fault was found---I'd repeat the entire sequence above and re-verify that all of the water valves are indeed good