Welcome Aboard!My 2014 has the exact issues also ignition tries to start with the key off? No recalls on the issues but plenty of complaints.
You should start your own thread here. Make sure you post any codes, icons etc that are occuring as well as any parts you have already replaced and when. Also any service that has been done, post what is on the invoice if you have it.
Don't forget to introduce yourself and your Cruze here.