He chose those things because they are no risk to him. If things don't work out, he still has his house and assets, and he can effectively choose how much time and money he puts into raising his own child, secure that you/ the benefits system, will pick up the slack for any money/ time he does not want to contribute. If he wants to pay you nothing, he will go for 50/50 custody.
Please don't underestimate how unpleasant men can be when relationships end. They are nice to you when they like you and want you in their life. Of all the splits I know of in RL, I don't know a single one where the man has behaved decently or fairly. They have all sought to maximise their financial interests at the cost of their wives. And for your man, its easy as its all his anyway and you have zero financial claim on any of it.
And no, you will never be equal when you have an absence of financial security and he has full security.
You really need to protect yourself financially by getting a job and career. Childcare is a joint and equal responsibility, don't make it all yours. There are plenty of threads on here of women in utterly dire situations at relationship breakdown, or perhaps worse, having to stay in miserable relationships.
Marriage will give you some protection, but nowhere near as much as having a job. Ask him to marry you, a simple registry office job will do, and if he won't, the only reason is because he is protecting himself for if/ when you split. And that tells you that you need to 100% protect yourself by having savings and a job of your own,.
And did you say you are paying him rent? I mean really, you are the mother of his child and you pay him like you are a lodger?! You should only be paying towards the mortgage if you are on the title deeds and jointly own the home.