Just wanted to say I've been there and it DOES get better so hang in there, before you know it you won't remember the hard times now. My dd did nothing but cry when she was younger to the point I wondered if something was wrong with her! I think they have a lot of issues that makes them cry- my dd wouldn't burb and had terrible gas pain, couldn't and wouldn't nap or sleep until she was all cried out, didn't eat regularly instead "snacked" all the time. With following BW all issues got better each day, each week.
Few things I found helpful-
For gas and lack of burping- I used gas drops, they helped greatly.
For regular feeding, I made sure I didn't feed under 2 hours, this way she got a good feed vs a snack.
For activity time I kept it to a minimum- diaper change, etc. Nothing too stimulating otherwise dd would cry.
For sleep when she was out of control crying, I did what I had to do to get her to a calm cry first- this meant gentle rocking, taking her to "white noise" such as running tap water then I swaddled and used pat/sh to get her calm to sleep. Pick up/put down doesn't work at this young age (it stimulates them). I also found it helpful to keep the room dark and quiet, and I took down the mobile as it had hanging animals and music (too stimulating).