Hi Sean! Welcome to Ninjette!
Let's see if we can get you fixed up. First measure parts to determine if they are indeed defective before replacing. Otherwise you will be replacing perfectly-working parts with brand-new perfectly working parts and nothing changes. Which is waste of time and money.
1. Measure continuity/resistance of turn-signal switch in left-turn position (orange + green)
2. Measure continuity/resistance of turn-signal switch in right-turn position. (orange + grey)
If they are not same measurement of 0-ohms/continuity, switch may have damage or corrosion. It
can be disassembled and contacts cleaned. I use 9x9 baking tin to do this surgery as 27 tiny ball-bearings of 5 different sizes and 52 micro-springs will fall out when switch is taken apart. I don't recommend doing this unless you really know what you're doing.
Next step after testing switch, and if OK, is to measure wiring between switch and flasher-relay. Then between relay and bulbs. Most of time, if is switch OK, it's in wiring. A lot of time people replace flasher-relay and bulbs to no effect because they're fine.