5 week old

First time mama here! 
I am so blessed to have my little one and I wouldn't change being a mom for anything in this world! I love my baby with my whole heart!! I am just struggling a little. I feel like my baby just cries when she's awake. I want so badly to enjoy my baby when she's awake, but I feel like she's always crying 😞😢. She is a very gassy baby, and I know it makes her uncomfortable. We give her gripe water, and it seems to help her! I just wonder if she's got colic? It's not a screaming crying it's more of a fussy, pick me up cry. Any other mommies out there just have a cry baby? lol I really try to do different things like wear her (she just falls asleep lol), but her in the swing or rock n play, she usually cries. She hates pacifiers, she would just rather nurse even when she's not hungry. Maybe I just have a high needs little one? Does it get better?? 
Please no rude comments, I'm just trying to find some advice. Thanks mamas