1. Rocking back and forth is normal with the stock clutch. The springs on the clutch disc are very soft. Combine that with soft transmission/motor mounts, that rubber dampener on the driveshaft, and freeplay in the driveline and there you go. Its actually kinda neat, when i had my stock clutch and someone in the car annoyed me, they would get violent bucking ride till they shut up... guess what? it works great
2. Sensor connection is lose, no big deal check the smaller sensor on the front of the intake manifold. Theres two sensors, one is for the ECU, the other is for the dash. If i remember correctly the smaller one is the one you wanna check. But also check the other going to the ECU (both may be in the same condition). You might just have to fix the wire or buy a new sensor.
3. Possibly, but it needs to be fixed anyway cause your steering is probably horrible. (do both sides at once)