Are you using a multi-meter? You also mentioned that you found disconnected wires in the tail light - this may indicate "others" had trouble before.
Find & test main fuse. Unplug whatever you did in the casquette.
Time for pictures - what do the new front signals look like. How are they wired? I didn't see any in original picture.
Where is the flasher unit? Hunt it down, it's got to be in the underseat area.
The battery drives the spark coil. Flat battery means no spark. Main fuse blown means no spark.
The casquette wiring can be a tough location to see colors well. Use lots of light and good "super see-ers".
VERIFY what you think you know before charging ahead.
Start with casquette wiring as you found it.
With key ON, kick thru slowly using compression release, ammeter swings left when points close. Turn Kill switch OFF, should cut power to coil, ammeter should go to center. Now you can't burn points.
With Key ON, put turn signal to Right side blinkers. Rear right blinker should work as it did originally.
Put VOM meter between the Gn/Bk & Bk wires in casquette, should cycle between 0 to 12V. Key OFF. Plug in right front blinker. Key ON, see what you get. should blink slower IF it's a mechanical turn signal relay, maybe same speed if electronic.
If all goes well, try the left blinker wires.
Did you download the free Hitchcocks manual yet? Do you have a Snidal's manual? What are you using for wiring diagrams?
Electrickery responds to methodical troubleshooting. Bullet wiring is not Japanese grade. Add back one piece at a time.
Let us know what you find. - ACR -