The E1 error code is a thermistor open error. I recommend unplugging the dryer and checking the wiring connection of the thermistor to the electronic control board. The thermistor attaches to the control board on the P2 connector (red/white and black wires on pins 5 and 6). The image below shows the procedure for accessing the control board in this dryer. If the connection is okay, pull the connector off the control board and check the resistance through the red/white wire and black wire with a volt/ohm meter (with the dryer still unplugged). You should measure about 10K ohms (10,000 ohms) at room temperature. Make sure that your meter is set to the proper range. If you read infinite resistance (open), then you could have a wire harness connection problem between the control board and the thermistor. Check the resistance across the leads of the thermistor (with at least one wire removed from the thermistor). If you measure normal resistance (10K ohms) at the thermistor, then you will need to repair the wiring connection between the control board and the thermistor. If you do not get a reading of about 10 k ohms you need to replace the thermistor.
If you measure the proper resistance through the thermistor circuit at the connection to the control board (red/white wire to black wire on the P2 connector), then the electronic control board is bad and will need to be replaced.
Here is a link to order any parts you need.
Sears Parts Direct
If you do not feel confident repairing this problem yourself, then you can have it repaired at your home by a Sears technician. Here is a link for the website:
Sears Home Services