Rutherford has great restaurants and a cute town to walk around
Hoboken is a hop skip and a 20-25 min jump from the hotel if you are feeling adventures to shop and walk around the water front
Jersey City is about 30-40 min around, another fun city to walk around and eat. Do not fill up too much, the food will be great at the wedding :)
If you have the time, there is a cute waterfall near the venue, we recommend going there for some pictures