Right turn signal don’t work

First of all, a "remote start kit" not made by Honda is a bad idea for this vehicle. You're tapping into wiring harnesses not made to be modified, and can cause multiple problems - as you seem to have done. I'd strongly recommend removing the system and restoring the vehicle to original condition. If you check with your local Honda dealership, you can possibly still get a factory accessory remote starter that could work with this vehicle.