A.R.
Keeping in mind that she is more like a baby chimp at this age than a toddler human will help J.. A two year old is still quite a baby and needs an inordinate amount of holding, carrying and reassurance that the world is safe. Don't expect her to be independent yet - and don't resent this stage if you can. This is the last time you will have the chance to feel small arms around your neck - small hands patting your face...
Independence begins around age three (but is not complete until around age five). If you are worried that you won't get there with your sanity, you might be well advised that the age of three is worse than two. I always call them: "The Terrific Twos" and "The Terrible Threes". Enjoy this easy stage while it lasts... soon, just picking her up WON'T calm her down!
Note: please try not to label her tears as "crabby". Babies are not crabby - they are having normal feelings. When you label them - even in your head - you become more intolerant. I hope that you don't call her "crabby" to her face - and hope that other moms here know that labeling kids out loud when they are young sets them up for low self-esteem and poor social behaviors later on.
Patience, not punishment, will get you through these hard stages. A two year old is too young to understand how to control her tears and frustration. How do YOU like to be treated when you are unhappy? Does punishment work for you? No - and neither should a child be punished for being unhappy. Pick her up and be grateful that she is healthy and growing up in a safe place (your arms).