1) Same ticket, same baggage allowance
2) Google maps clocks the trip at less than an hour. In reality it's likely to take longer, but 3:22 is plenty of time. (If I were driving a friend from LGA to EWR, I might even stop at the Ohel - also in Queens, but not on the way.) It will be a costly taxi ride. Easily well more than $100.
3) yes