Assuming they need someone, WDEL might consider you for a weekend reporters job [you said you've got Journalism experience, so assuming you mean as a reporter]. That might be a way to get your foot in the door at WDEL [maybe they'd give you an apprenticeship to learn the radio part of being a reporter]. Maybe even WILM [Wilmington] / WDOV [ Dover] would have an opening for part time reporter or apprentice.
However, usually folks get their start at smaller stations. Maybe the NPR station in Dover, WDDE [Del State Univ] might have an opening for a part timer or maybe would give you an apprenticeship opportunity [at no pay] to learn about doing radio. Then you'd have some actual radio experience and have a tape to give to the News Directors at WDEL, and WILM/WDOV.
You might want to look at a smaller market, so yes Sussex County and WXDE [WDEL's sister station] Lewes. Again maybe an apprenticeship to learn the radio side of being a reporter. WGMD [Rehoboth Beach] might be interested. Then there's Ocean City, MD. Maybe a South Jersey news talker or Lancaster. Maybe a college station like WXPN [U of Penn], WVUD [U of DEL] Newark, WGLS [Rowen Univ]Glassboro NJ for apprenticeships.
Bottom line, is you're going to have to search around. Sadly small stations these days are a radio station in a closet taking programming from the bird [satellite]. The opportunities that used to be other there for someone starting out aren't there. I believe most younger folks today get their experience via college at their campus radio station.
Hope this is helpful.