Glad you got things working. Several things to try to clean it up and make it more reliable.
1. Try removing the original bulbs from those connectors. That might improve the flash rate of your turn signals.
2. If you are going to keep the LED lights, now that they are working, replace the turn signal flasher and emergency 4-way flasher modules with some that are rated for use with LED's. LED'S draw a different amount of current and that affects the way traditional flasher modules work.
3. It would be wise to improve the quality of those splices that are currently made with the Scotch-Loc connectors. If keeping the LED lights, cut off the old plugs and just splice the ends of the wires instead of doing a "Tap" off the side of the wires. At a minimum, I would recommend crimp style butt splices connectors with sealed heat shrink covering them to keep moisture out. Nest would be to twist the stripped wires together, solder the connections and cover with sealed heat shrink tubing. I realize not everyone has the means to automatically go out and buy the tools and materials for that. But it really isn't expensive and will prevent future headaches.
Some informative viewing, if you are interested;