Firstly, I have a 4.0 GPA at my current school but this doesn't tell the whole story. My overall GPA is a 2.9 due to failing miserably at a different college that I attended fresh out of high school. This is clearly stated on the unofficial transcript that I had to submit to the companies to apply for the internships.
So, your school averaged those grades with your new school? That's different... If it is not averaged, list them separately. I mean, this is my second degree, my first was in psychology. I never list my GPA for that school just because it isn't really even relevant. Yes it is your life long averaged GPA, but unless your school actually averages that with your current grades, it isn't your Engineering GPA.
Also, I have applied and been accepted to several Internships/Coop's. I think out of the 15 or so interviews I had the last go round, only one of them required transcripts. Are you running into the opposite? Clearly state your Engineering GPA, or your Major GPA. Resumes are about selling yourself, just don't lie.