Yes and yes, your baby can ride anything with no height restriction. I suggest a sling or baby bjorn - front carrier as you can't take the stroller in the line. I used a sling when my girls were little and wore them on everything including haunted mansion, jungle cruse, pirates and the safari!!!
Have a great trip!
Ps -even though you didn't ask, make sure you take advantage of the baby care centers at all the parks. A great place to nurse, feed change and take a break with baby. Especially if you have older kids in the party its a good chance for downtime with baby and older kids to enjoy the E-rides.
TJ