The dryer doesn't start. You can select your settings but when you push start, there is a click but the dryer doesn't start - meaning the drum doesn't spin. After the clicking sound once the start button has been pressed and held the timer actually counts down as though the dryer started but nothing is spinning

Check that the dryer door switch is operating correctly.

If the switch or actuator are broken, the dryer will not start.

Donf,
I have opened the door and depressed the rubber door switch and then depressed the start button once again - same issue - all that happens is the same clicking sound and nothing starts.

When you pressed on the switch, did you hear it operate?

The dryer just makes a clicking sound - still nothing happens. The dryer makes same sound when the door button is depressed by hand or if the door is closed properly under normal operation.

To go any further, you would need a schematic of the dryer and a Volt/Ohm meter.

Sorry, I went for the most common cause.

I have the exact dryer and it is doing the same thing. It's like something is locking the drum. I can't even turn it manually. Johnnywindsor, did you ever find out what the cause was?

Most likely it is dirty and lint deposits have built up, as it always does, in all the air ducts which will cause the main safety to blow. You need a multi-meter to find which safety has blown or if element is bad. You will have to take it all apart and clean the drier out thoroughly or it is all for nothing. Every air duct will have to be removed and scraped and washed out to remove baked on lint deposits which bakes on like a concrete lining. This will burn so the manufacturer has installed the safeties to keep from having a house fire. The safeties are oval-shaped with a round center part containing the safety with two plug-on terminals for the wires and when they burn open, from the dryer being dirty, nothing will work. Using an ohm meter you put a lead on each terminal of the safety, with one wire unplugged, and if it is good you will have a reading of about zero; if it is bad it will read infinity. Driers were the number one cause of fires at one time, hence now we have safety fuses. Look at: How to clean your clothes dryer. How to make it hot again. - YouTube to see how. Also look at these to get an idea about how to clean it: Mr. Appliance Tips: How to Clean Your Dryer - YouTube ; Cleaning a Dryer Vent and Lint Trap - YouTube
Electric Clothes Dryers Dryer vent cleaning prevents fires - YouTube and: Cleaning out a dryer with top lint cleanout - YouTube
Cleaning out a dryer: By a woman 2 of 2 - YouTube
Whirlpool Dryer Model LE5800XSW3 Wiring Diagram | Dryer Repair | Fixitnow.com Samurai Appliance Repair Man
When you finish cleaning the drier it is best to also replace the belt, too, because you do not want to have to disassemble it all over again and if the belt is over two years old you should replace it.

Note that on most of the videos it does not show them washing out the parts, but this is important because it's the only way to really get the parts clean, just don't get motor wet or the capacitor if it has one. Vacuum out the motor to remove all dust. I would move the drier out to your garage to have plenty of space to work. You also want to check your vent and clean it, also. The vent should have a short run and be straight as possible. The job is really easier than it sounds. There is no shortcut that will work; it has to be cleaned well. Before you re-assemble it make sure to use white lithium grease (high-temp grease) and grease all bearings. Just vacuuming out the dryer a little does little good. DrTom4444