It's hard to say somebody is a good reference if they have only known you a short time. Now if you had a CCW permit in your previous state, that may help. Remember Delaware is a MAY issue state, not a SHALL issue state. Maybe you need to get a police record from your previous state. Or finger print check. Can't say any of these will do you any good, as you have just moved here fairly recently. Best to get to know people and give it a year or so. When I applied for my permit I submitted 6 (only needed 5) reference letters, and I had know them from 5 to 20 years
each, most 20. I had lived in Delaware over 20 years. Got permit in 8 weeks.