Wow... Are you two going to stop eating all foods and drinking all drinks that come from within a certain radius of the plant too??
+1 to this, honestly you probably are already exposed to a decent amount of radiation on a daily basis. Here's a list from what I remember from physics;
The sun
The earth itself
Potassium (You'd be suprised at how much potassium there is in foods)
X-rays
TVs
Certain watches
Smoke detectors
Computers
Atmospheric Nuke testing (you can thank the French for this one )
The likelihood of your car being irradiated is next to none, and even still, the likelihood of you getting sick from said irradiated car is 3/5 of not very much.
Case in point - I wouldnt be too concerned since the chaces are 1:11ty