Do you think this is wrong?

Okay so this is gonna be a little long. I was with my b.f jason for almost 4 years. We broke up for a little under a year.During the break-up time we still cont. to be friends. I started dating a guy named rob for about 8 months- got pregnant. A few weeks after we found out i was pregnant I broke up with Rob just because I knew he wasnt what I wanted. A few months later I got back with Jason. Jason and I are now living together and he knows this baby is robs. But he has decided to stick it out and pretty much be here as the babies step dad even though we arent married. Rob doesnt deny the baby and actually would still make it work with me but i do not want that. Anyways I have been going to all dr. appt. with my mom and do not want Rob at any, he does want to be there but I havent seen him in about 4 months so it would be like a stranger there with me. Anyways I told Rob that Jason and I are back together but left out that we were living together for now. Today I told Rob that I want the baby to have my last name. ( I dont want my kids to all have dif. names) But I was thinking of naming her Brihanna Liberty and my last name. Liberty is jasons last name, but it also acts as a normal middle name. I dont even think rob knows jasons last name. Rob is real mad about me not giving the baby his last name to the point that he is said he wont even sign the birth cert. Which is whatever. I was planning on getting legal councel and do things through the courts anyways. even if he signed the birth cert. Do u think the middle name thing is wrong and any other opinions or suggestions on the whole situation would be appreciated. o yeah one more thing... I also Do not want Rob in the delivery room with me. Is that reasonable? I do not want to be stressed and feel uncomfortable during labor. Rob says "why would you take that experience from me?" Whats your opinions on that. Btw im planning on just having mom in there with me. Maybe Jason when im just having contractions.