To upload a pic , you need a Hosting Site , like IMGUR (what I use) or something that will give you links to post on forums/websites , etc. , you upload your picture to it , and it has a choice to resize the picture for forums , and go to the picture , click on it , and it will show the picture and links to the right side , choose for Message Boards and Forums and hit Copy , then just right click (assuming you are using a PC) and Paste it into your post , or however you copy/paste on your phone , and the picture will show up make sure to use the Message Board BB CODE link I mentioned (if you use IMGUR)
As far as the ground , you can try jumping the ground from the light itself to a known ground (using a jumper wire or any wire for that matter) , just connect one end to ground (your battery ground for example) and to the headlight ground , if the light works then the issue is the ground , then you will either have to trace the original wire to find where it is broke or has become disconnected , or make a permanent ground by use of a new wire and connectors and go directly to a ground source and you should be good (provided that the issue is a ground issue)
As far as the Blue light and relay , you need to "Probe" the wires coming out of the blue light and see where they connect (Probe shown below in picture), and check at each connection till you get to the headlight itself , you are either losing power at a connection somewhere or as mentioned , you are not getting sufficient ground , it can only be the power is not reaching the headlight due to a plug in or broken wire (since you have replaced the other components) , or a ground ... that is it ...
The power should go from the blue light to the headlight (or vice versa) , either way you need to test all the wires in relation to the headlight to make sure you have power to the light , and a ground to the light , so from the switch forward there should be power (when the bike is running or however it is wired)
Power Probe:
