dude you will be fine. just go to the exelon website and apply for jobs. do an internet search. just make a resume out with word wizard and the one cardinal sin is DO NOT USE terms like "ELT, ERS, EWS" without writing out what they are first (ews means engineering watch supervisor, what did I do as one that is important to people at a commercial nuke plant?). anyway, these plants are always looking for exnavynukes because they always need operators. for me, i don't think exelon is all that great, but they are probably just as good as the next nuclear company.
if you can, try to get a name or contact of someone to actually talk to at a plant anyway you can. it isn't always easy. ask friends if they know anyone, use the inet creatively, stuff like that.
don't forget to use your unemployment benefits (go to PA or MASS via interstate claim) and take a couple months off free of charge to find the right job for you. also, I believe you get free tuition in the state of illinois for college as a vet so look into that as well.