Family drama. Should I go and see my brother's baby??

This might run a little longer. Please try to read this through and advise. My brother got married 11 years ago and so did I. In the beginning I use to get along with my sister in law. I immigrated with my husband to another country right after marriage. My sister in law was living in the same country and city so until my brother arrived I used to see her a lot. The day my brother arrived she started picking small fights with me like why did I ask her about her size or if she is hungry. Yes that minor stuff. I have profusely apologized numerous times to my brother and her even though sometimes I was not at mistake. Yet she and I grew apart and after trying for few years I gave up. My brother lives in same city and do not visit me. I have invited him over Christmas and my kids birthdays but he has never came. Last time he came was over two years ago. His excuse was always that he doesn't have a nice car and the drive is almost an hour so he doesn't want to take the risk on his car breaking down. He bought a brand new car 6 months ago but still didn't visit me. I found that from our mutual friends. The last time he called me was in March. If I ever call him he doesn't answer his phone and never returns his call. Last year in November my mom fell and was in hospital I called my brother for 3 days and he didn't answer so I finally texted him to call home and he said "ok". And never called back. Well this year in May he announced his wife is expecting baby and baby is due in July. There was a baby shower and I was not invited on it. Three days ago his wife gave birth to a boy and he has been calling me since then expecting me to visit him. I have told my parents and husband that I am severing my ties with him. (This is his second child and on the birth of his first I was at the hospital on day 1). I have not picked his phone and texted him congrats. My parents are telling me to visit him but I am tired of bowing down all the time. Am I right to stand up this time ??