The 194s don't need resistors as they are so small, it doesn't mess with anything. Make sure you have them in the right way, they aren't like the incandescent bulbs. They need to have a specific positive and negative. Also, try pulling up on the bulbs every so slightly, and I've found pushing them all the way in causes them to not fire.
You don't need that flasher for your 02. Look in my original post about removing pin #7 from the IC chip in the flasher module. That is the bulb out indicator pin and causes hyperflash with leds. No resistors needed.
If you don't want to mess with the chip, use resistors. I deleted the drls on my 04 and used one 6ohm resistor per turn signal/2 leds. No hyperflash from that at all.
And what James said about the new sockets. Just line up left middle and right and soldered away.
I hear ya on the 194s, I've installed quite a few LEDs in several different vehicles.
But my corner lights didn't work with any LEDs no matter orientation. Tried different led bulbs too. That's why I asked if it was related to the resistance issue... confused the heck out of me.
Also, just temporarily before I start soldering I just scotchloked the new Dorman 3wire socket on drivers side, just as James described, and now with turn signal on the OPPOSITE side flashes when I turn on my turn signal, my dash lights flash, my cab lights flash, both my taillights flash!?? Ha wtf!? Is that resistance, or are some wires on the 3 wire socket out of order?
They don't hyper flash, but they all flash!!??
Then when off, my turn signal indicator stays on solid on the dash. Just a solid green arrow.
Oh, and if I do that pin 7 mod, will I have to remove the resistor on the taillights?