OP, you are being abused. Financial abuse, and emotional abuse. Please, please, google those terms and do some reading.
Everything he does, he has a reason for, and is designed to control you. He is not some naive man with issues due to his previous marriage. He's a solicitor, and knows damn well that you are entitled to a share of the marital home. He also knew, before you married, that if you'd paid any money towards the mortgage, you would have created a "beneficial interest" (a legal term) in the property, so in the event of a split, you would be entitled to some money from that.
I think, the reason he wanted you to buy an investment property, was so that if you divorced, he could point to that, and say that you don't need a share of the marital home, as you already have a property of your own.
You really need legal advice, from a solicitor, and you need to educate yourself about finances, and abuse.
Do NOT have counselling with him. He knows all the loopholes, and will turn things around to make you the bad guy. However, counselling on your own, would be a good idea.
He really is a bad man, and everything you post, just proves that. I notice he's managed to isolate you from your family and friends, by moving you away from them. This is a classic abuser's tactic, because it cuts off the support and weakens you, makes you more dependant on him.
Speaking of family and friends, do they know you're living like this? Do they know he's expecting you to return to work straight away, and won't pay for anything to do with the baby? Or are you too ashamed and embarrassed to tell them? (This is common among abuse victims, we think it's our fault, but it's not.)
I'm afraid you're going to have to let go of your dreams of having a family with him, and face up to the reality. You will never be happy with him.