I never really bothered to get a sample from outside to compare to your photo and cannot swear that it is a Veronica even if I did the comparison. Will do further exploration by contacting New Jersey wildflower site and refer them to your photo. The plant I have is highly invasive, but so short and by the edge of the woods, I don't really care. It is nowhere among my choice plants.

I have this growing in my woodland (mine looks more like the one called African Club Moss) and I tried to transplant some to an old growth rotting log. It died. I have quite a bit of it so I might try it again. I really like this moss. It just appeared one day and I have kind of nurtured it. Most of it is growing in whats left of an old compost pile I didn't get around to moving. So it seems to like it on the rich side.

Not Ajuga. Maybe Packera aurea but that is a species I have never seen so I am not familiar with.

Blue flowers on the right in the top photo and in the second are Vinca minor...they belong to the shiny oval leaves. The blue daisy-like flower looks like Anemone blanda...and it is being overrun by the vinca. The thinner, bright green rosettes of foliage are a Galium but can't see enough of it to determine which one. If they are kind of sticky to the touch, then Galium aparine or bedstraws - a weed. If not, they could be Galium odoratum, sweet woodruff, a shade loving groundcover.