#1 has been mining for weeks now and it's always blinking green like that. I think you got it the other way around. Miner #2 (red and green blinking) hasnt been producing nothing.
Green steady blinking + random fast red flashes is normal mining mode (the red flashes indicate work has been received by the miner and its producing valid shares). If its only steady green it means miner has started up and is waiting for work from server...this means there is either a pool issue, or a local network issue preventing the miner from receiving work.