My (30F) husband (33M) suddenly obsessed with having a baby

My husband and I have been married for 4 years, together for 5, no children currently. We both want children, but have previously agreed to waiting a few more years so that we can get some debts paid off and be totally ready for the commitment. Our relationship has had some struggles for the last year. I don't want to get into specifics at the moment, but we were separated last year for several weeks, then we got back together, and separated again last month for a few days. We're doing better at the moment, we're both going to therapy and working on some issues.

Recently he's been bring up us having a baby sooner than later and it makes me uncomfortable. I still want to wait a few more years. And to be perfectly honest, it makes me nervous with some of the relationship issues we've had. A small part of me feels like he's wanting to have a baby to keep me with him.

I've told him that I don't feel ready for that yet. He pouts about it and says stuff like it'd be better to get pregnant while I'm younger than to wait. I continue to tell him no, then he brings it up again after a few days. I'm starting to get really mad.

I'm on birth control and I keep it next to my sink in the bathroom. Recently he moved it to our room and stuck it behind some stuff on a dresser. He claims he was cleaning up and didn't know it was supposed to stay in the bathroom. I'm a little suspicious about that.

What should I do? Has anyone ever been in a similar situation?

TL;DR: Husband suddenly wants us to have a baby after relationship issues. I'm very uncomfortable about it.