When i first turn on the water it has a very strong plastic smell. I know it is not safe to drink the water, but... won't the vinyl chloride be taken up by my tomatoes and broccoli plants?

Yes, it is safe to water your plants this way.
Just as rain water isn't always safe to drink but doesn't effect the nutritional value of produce a garden hose is harmless.

Yes - you're fine. The water will be filtered through the ground by the plants, anyway.