will record of DWI transfer from my CT license to my new NJ license???

New Jersey

I just moved to NJ from CT.
in dec 98 i was arrested for dwi. i attended a traffic school which apon completion of the charges were to be dismissed (nalied). i finished the school went back to court and the judge said charges dismissed according to statures.
last year i tried switching to geico insurance for a better price. they said my records show my license was suspended for failing a blood alcohol test. i thought this was wiped from my records. i filed for a CT drivers history record and this showed up:

reason F17 statutory citation 14-227B action per se
reason F17 statutory citation 14-227B action license suspended
statutory citation 54-56G action violation


I am job hunting and applications ask if you have been convited of a misdemeanor or more than a minor traffic violation.
i will answer honestly but i dont know if this will show up on my motor vehicle check.

Will these charges carry over onto my new New Jersey drivers licence???

thanks for your help