Other than just poor connections you might want to investigate the water heater may be too full of water. There is suppose to be a small open area in the top of the water tank to allow for expansion when the water goes from cold to hot. I have no idea how that works but do read comments on here there has to be room for expansion.
Maybe go on the outside and hit the relief valve a couple of times and drain off some water and see if the leaks quits???
If its new I'd take it back to dealer...
Roy Ken