Possibly. You need to contact the Department of Motor Vehicles in Delaware and ask them. I would do that before accepting the job.
No. Delaware will recognize the Virginia suspension. If you are moving to Delaware, you will not be able to apply for a Delaware license until your Virginia privileges are reinstated. So, make sure you apply for reinstate in Virginia as soon as you are eligible. Delaware will perform a nationwide search of your driving record when you apply for a license and will deny your request if you are suspended in another state.
Sign up to receive a 3-part series of useful information and legal advice about DUIs.
Years licensed, work experience, education
Peer endorsements, associations, awards
Publications, speaking engagements