Should I go?

So my due date is May 11th and I was expecting to have an early baby due to a bad cervix check at 35 weeks (told me I was 1 cm, ripe and engaged). Around this time my mom told me she decided to get married on June 3rd and asked if hubby and I could be there. I said yes expecting baby to be at least a month old by that time.

Granted, this will be a small wedding. Probably about 20 people or so. Currently it looks like I could make it to 41 - 42 weeks (cervix is apparently closed tight and not budging), making the baby around 2 - 3 weeks old at the time of the wedding.

Is it too early to bring the baby? We would have to travel 4 hours and probably stay the night somewhere. I feel like I'm bring such a first time mom scared of the world, but at the same time I just want to keep my baby safe.