My s/o wants me to block my bd's phone number

He says he is too friendly, i feel very very conflicted about it.. I love my partner now but at the same time thats my sons dad & i wanna be able to know if anything happens to my son while hes over there or anything. I currently live with my new partner & things have been rocky already im not sure if this is logical or a red flag. He said if i dont do it then hes gonna start talking to other women or we can be done. I feel so hurt & conflicted. These are the messages hes mad about, my son is 2 on vacation states away. Im thinking about going to his house & packing my shit while hes at work. Im so tired..

My s/o works 12 hour shifts nightly & he makes me talk to him otp the whole time hes working. He keeps telling me im cheating and doing all this shit im not doing, i wouldnt ever do anything with my bd. Were not together anymore for a reason. Im scared to leave bc i keep getting drawn back to him.. I need help....