To suddenly ask you to leave after a trivial argument, and then change his mind, suggests a difficulty with relationships and an intability that would be really problematic. GO to the Maintenance Court and get them to set an amount for the Maintenance he must pay you every month for the support of his child by you - that is for the child's benefit and may wake him up to remember that he has responsibilities towards both of you. Dont allow yourself to be manipulated by him, as you've found him to be deceitful and selfish in many ways. Pay far more attention to what he does than what he says.
Have maintenance and visitation sorted out by the court, with tyou assested by a lawyer if possible, and don't leave it to him as he'll continue to do only whatever pleases him the most.
I don't understand your later comment - if he lied about being divorced, then any suggestion he might marry you was a deliberate deception too.
Far too many men are enabled to wander round suiting themselves and using women for their pleasure, while ignoring their responsibilities.
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