I can't tell if you're specifically asking for e-bike recs here or not. But unless there's a health or mobility limitation, or your area has absolutely massive hills, 3-5 miles is not a range where you'll get a lot of the benefits of electric bikes.
Everything you mentioned can be comfortably and easily done on like, a $300 single speed with a front basket. IMO just start there and see how well it meets your needs. Even if it fits them terribly, using it for a few months will give you a very clear idea of what you actually do need from a bike.
I echo this sentiment--you don't need an electric bike for what you describe. I would suggest, however, not starting with a $300 single-speed. Get a city bike with an internally-geared hub, maybe eight speeds. Take your time getting used to it. Around where I live, it took me a couple weeks to get comfortable.
Everything you mentioned can be comfortably and easily done on like, a $300 single speed with a front basket. IMO just start there and see how well it meets your needs. Even if it fits them terribly, using it for a few months will give you a very clear idea of what you actually do need from a bike.