I looked in my Modules tab to the right and there is not even a shield generator shown in the list.
I then started re prioritizing most items to spot 4 or 5 and just leaving important sounding items on 1 or 2.
There is a power bar along the bottom that is completely filled with solid and claims 100%
.............
Yes you need to actually have a shield generator if you want to have shields (I believe some people operate without them).
If you are still in your starter sidewinder then you really don't need to waste the power budget that a KWS uses (a 0A KWS would use up nearly half of your power capacity) - if you kill a wanted ship you will get the bounty credit in the system that you are in. If you are thinking about becoming a bounty hunter for a career then you really need to learn a bit more about stuff first to be honest.
First off - in your modules page deselect (make not active) your cargo hatch (scoop) - you only need to power it up when you want to use it and otherwise it takes up 0.6 megawatts (MW).
Secondly - power off each of your priority 5 items and see the effect on the power bar, then do the same for priority 4 items - as you move up and on in ships and equipment you can do this to check to make sure you don't drop into a combat situation and find that when you deploy your hardpoints everything shuts down!
Power Generator - you said you fitted a C power plant - a 2C plant gives you 8 MW to play with (the number is the size and the letter is it's rating) so what have you got fitted that is using up that 8MW?
Use the websites coriolis or ED Shipyard, use them to work out what to fit and what it does to your ship:
http://coriolis.io/
http://www.edshipyard.com/
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Hmmm, I'm almost wanting to get blown up by someone and when asked if I want to start with plain jane sidewinder just to get another fresh start but then I am afraid when I start upgrading I will run into the shields offline again.
No need for that - on the main menu (not the pause menu) - select OPTIONS - in there you can select CLEAR SAVE and that will let you start afresh.
Also if you want just hit boost while inside a station, you will bounce about and blow up, your insurance screen gives you options to start again if you want (or restart with your old / last loadout which is not much use to you as that is why you suisidey'ed in the first place).
A final option is to select self-destruct - does the same.