A decent skimmer for the price are the coralife superskimmers. Tanks don't need to run with a skimmer anyway, so if you have one I would say that's fine anyhow. I think by rinsing the live sand may cause some nitrates to go up because that would have helped the nitrates go down. I also think that it could have been the best way to go since if you move the sand around you may hit ammonia/nitrite pockets anyway and maybe give a bigger cycle.
Get the test kits like the others have said for ammonia, nitrite, and nitrate. Watch those often since you just got it moved and set up. If there is livestock in it, seems like 5 fish, and you have ammonia go up, you will need to do maybe some 10% water changes until it hits 0. I think carbon is somewhat useful in getting ammonia down but I am not sure. The 10% water changes can help on all of the parameters, 20 ppm nitrates would probably be a good max and aim for 0. You may not have it turn 0 until the sand is live again.
Go slow on putting in more fish if you planned on it. For one, I don't think anymore peaceful fish could go in there after damsels are established, but I have never owned those fish. Otherwise, maybe get a fish in a month if everything is ok, then if you were going to put something else in, wait another 3 weeks or so and make sure the water levels are doing good.
Good luck and have fun. :thumbsup: