It's really hard OP. 
Look up fourth trimester. Babies just have tiny systems so even little bubbles will hurt. As they grow, they are less windy.
DP might be a dick, but let's put a charitable spin on it. Pregnancy prepares you for the feeling of loss of autonomy, exhaustion and responsibility a baby brings. It's not quite the same for men.
They suddenly have this huge responsibility, exhaustion and maybe trauma from the birth but also guilt because they know you're going through the same but much worse.
They're afraid of not being good enough at looking after the baby and see the crying as failure. They think maybe women can just look after babies more easily through instinct. The culture of masculinity doesn't prepare them for showing vulnerability and tenderness so they clam up and act like arses.
Giving exact instructions might help, like 'I need to nap from 6-9, settle the baby or take her out for a walk but let me sleep and you need to do dinner'.
A sling is your friend. Babies like to be close, those pics of them going big to sleep peacefully in their cots are mostly lies. Easier said than done but the more you can relax, the more that will signal to the baby that she can chill out too.
If DP didn't read anything about babies, Commando Dad has quite a good blunt approach to it.