Sounds like you have a standard 29 gallon tank like mine, 30" x 12" x 18". I have a Whisper 60 filter on it so I am over filtered. I think the heater is 150 watt but not certain. It's been a couple years since I got it. No airpump running. I have 2 65 watt power compact lights for a total of 130 watts for my plants but I usually leave one of the bulbs off (they have separate switches) as that still goves me over 2 wpg.
Since you don't have live plants, you really only need to have the lights on when you're there to see the fish. Your lights are fine and aren't too strong. That's what comes with the 29 gallon setups. Excess light will help trigger algae although it usually comes in conjunction with overfeeding. What type algae do you have? Your tank is relatively new and brown algae is quite common in new tanks. It will go away on it's own once the silicone that was used to seal the tank with finishes leeching silica out. Usually takes a couple months.