Need some advice and encouragement!

Sarah • Wife, Mother, Christ follower
I've spent most of the day crying from exhaustion and just feeling helpless. I could use some advice! This is my son, Henry. He is 7.5 weeks, and when he's happy he is so fun and cute! However, he is very very rarely happy and it doesn't last much longer than ten or fifteen minutes. I try so hard to give him proper 1-2 month entertainment, hold and snuggle him, make sure he's the right temperature and has a clean dry diaper... He's growing really fast so I know he's getting plenty to eat. But he is just sooo so crabby and unhappy! I have never been able to get him to sleep without being held for longer than twenty minutes (usually more like five). People always want to hold him or see him, but when they can't get him to calm down they seem really concerned and ask me, "Is he always so colicky? Is it gas?" But I try EVERYTHING you can do for gas (mylicon, gripe water, tummy massage, bicycle his legs, burp during and after feedings) and nothing helps. He almost never spits up, but he does constantly have the hiccups and he is really really hard to burp. His doctor's appointment isn't until the 31st... I feel like I'm going crazy. I feel like a horrible mom because I love him so much but I just can't seem to help him or make him happy. He's never content! I get so frustrated and sometimes we just have to sit and cry together. Does anyone have any advice? I haven't slept longer than an hour and a half to two hours at a time since he was born and I'm averaging 4.5 hours total a night. I feel like such a failure.