I hope your chicks are OK....I can't promise anything but just so you know, it is very normal for young chicks to sleep A LOT!!! And when they do, they often just 'face plant'. They go from running around doing chickeny things to looking like a dead thing in about a millisecond! The photo certainly doesn't immediately cause me to worry, just looks like a sleepy chick but it's other things you need to watch for. Are the chicks eating, drinking? Are they huddled by the light (brooder too cool) or avoiding the light (brooder too warm) Have you checked the temperatures? The 'laying with their leg out' may be an indicator of it being too warm....do they have an area away from the heat source they can escape to? There should be cool spots. Are they peeping a lot, making loud, distressed cheeping or are they pretty quiet, just cheeping when active (sign of happy chicks)
Sorry for all the q's but more info will help determine if you have normal sleepy chicks or potentially poorly ones xx