The rant she had at Lee's ex, said 'she's having his baby', it didn't say 'I'm pregnant with his baby'. Her statement is subjective. Yes, it could mean she's pregnant but equally it may be 'I will be having his baby, not you' type statement. KP is 47, and will be 48 in May, and let's face it, she's physically very skinny and gaunt, she hardly screams 'healthy'. She'd be a high risk of miscarriage, I would think, due to her age alone. Perhaps there's going to be IVF or surrogacy? Personally, I don't think KP is pregnant, I think it was said as a 'I'm going to give him a baby, and not you' type statement.
Lee is clearly a chancer, and seems to live in a Walter Mitty type of world. I suspect all of the accusations his exes have alleged are probably true. In Dubai you can marry, but for it to be legally binding, the marriage certificate is submitted to Court for validation. I'm not convinced the marriage has been validated, they've merely gone through a ceremony.