1. You will have to wait for 8 hours (maybe longer, can't quite remember that) before being able to apply to a new group.
2. You will have to wait for 7 days after joining a new group to be able to participate in Great Ninja War, or the Group War for short. That means you won't receive the GNW packs, which might be not too bad if your current group is too weak anyway and can't perform well, or even join, the GNW in the first place.
3. You will lose all your group contribution points. Not too bad too, you just need to spend them all on group skills or group lucky wheel. The skills will be carry to your next group, and since your current group is lv.1 you shouldn't have anything to worry about anyway.
A stronger group will help you doing convoy more easily, meet less plunderer. But in the other hand, finding someone to plunder may be quite harder. A stronger group also provide a much higher group skill level cap, which will effect your fighting power.
A stronger group can do better in GNW, yeild more and better GNW packs. But that won't always be good since there are also more members and if you are not that active and strong, you may never touch one. If you are on a weaker, but has less member group, the packs will not be that good but you may receive one every week because there isn't that much people to share.
In the end, it's all up to you.