Touching the 2 live wires together will not harm anything (as long as it was the live wires not the ground wire and a live wire!!), so don't worry about that. To address your front indicator issue first. I would suggest disconnecting the LED indicators and reconnecting the original indicators and see if the indicators work correctly (front & rear). This way we know the issue is due to the LED indicators and not another fault (bad relay, blown fuse, etc).
I am thinking you have blown the indicator circuit fuse, this why the rear indicators do Not light up, and I think you have connected the front indicator wire to the driving light wire, which is why the front lights up all the time!! The front stock indicator lights have 3 wires, a ground wire, a driving light wire and an indicator light wire. I suspect your new indicator bulbs only have 2 wires (a ground wire and a Indicator wire (No driving light wire)) and you have connected the indicator wire in the bulb to the driving light wire on the bike wiring harness, so the indicator lights just come on and stay on with the ignition (as a driving light would). If this is correct, try disconnecting the indicator live wire and re-connecting it to the 3rd (unused) wire on the front indicator plug and see if the indicators no longer light up when the ignition is turned on. If I am correct,. the indicators will still not light up when you press the indicator switch as I think you have a blown fuse in the indicator circuit, so we need to find the fuse. I will try and find the manual and tell you where the fuse is located.
Once we find the bad fuse, I suspect the indicators will then light up, but will NOT flash, the standard flasher relay requires the bulbs to draw a certain amount of current before the relay flashes, because you have replaced the front bulbs with LED (LED's use a lot less current than a conventional light bulb) there will not be a sufficient current drawn for the relay to flash, so I think you will need to buy an LED flasher relay, but lets get to the point where all the indicators light up correctly when you push the indicator switch. Then I can explain how to purchase the correct flasher relay.
Regards Gary