Being as it is new the whole kiln should ALL be OK, but since it's broken, don't assume anything.
Elements are the greatest fail point. Once they get fired, they can go brittle.
Check where they connect to the binding posts and inside if there are any staples or stretch points.
Do you own a meter ?
Here's the diagram
It's all about following the lines
http://www.paragonweb.com/files/wiringdiagrams/WKM24D.PDF
If you have a meter we can walk through it.
It's all about a systematic approach, starting with something known and working through it with a plan from the simplest to the most difficult.
The diagram helps a lot
It's all simple stuff that works or won't but it can all be a point of failure.
Element
Door switch
Relay
controller
It's not likely the thermocouple since you cant turn the elements on even in test mode.
First = check the element
With no power on, unplugged
See the diagram shows 16 Ohms across the two connection posts to the elements
Set your meter to Ohms Resistance, 16 or so is OK, infinite is bad, zero would be bad, but not likely in this case.
Bad element? change it.
Then 1B
Close the door, Plug it in, turn it on, set it so the heat should run - test coils setting ? try that.
Set the meter to 240v
AC
Put the test points on the binding posts to the elements
Power there, but no heat? bad element or bad connection to it.
Second = check the door switch
With no power on, unplugged same resistance setting as point 1
test the door switch, infinite when the door is open, and close to zero when the door is closed.
It may be handy to just use your finger to press the switch in and out, but that won't tell you everything.
If that switch needs adjustment shimming in and out you need to test it the way it actually works.
Third = check the power to the relay
Close the door, Plug it in, turn it on, set it so the heat should run - test coils setting ? try that.
Set the meter to 24v
DC
Measure at the pin 0 and 1 where it says coil on the relay, 0 is bad, 24VDC is good.
If you get that, then the control power supply,fuse, control, door switch are all working
you may not actually be able to poke the leads onto the relay, trace the wires back to a point you can test, like the door switch and where the red wire connects to the controller.
Forth = if check 3 gives you 24VDC check the relay itself
The 24 VDC to the input of the relay means the switch should be ON
change the meter settings and range to read at least 240
VAC to test the output of the relay
Put your pointers at pin 8 and 4, that should show 240 VAC or so- that means you have it plugged in and the wall fuses are OK
Put your pointers at pin6 and 2, if you can't reach them test at the binding posts where those wires are connected to the elements
if you get 240 VAC there it means everything is OK and the elements should be on.
If you got 24VDC on the control side, but nothing on the output, the relay is bad.
If you need a relay, pull it out - it should be on a socket, read the numbers off it and we can find a new one faster cheaper and better than the one paragon will sell you.
Fifth
If all those checks are ok, you need an element
go back and see if you can find the break or bad connection.