Hi Feathertop
We just recently took our jogger from bris to adl and it was no worries at all... all we did was tape it up with a long string of masking tape..... just so when they chucked it on the belt it didnt open on them or anything.... there was no damage or anything done to the pram and we had 3 bags, the jogger and a car seat and we didnt even go over the excess luggage! we were pretty happy with that!!
Then on the way home came back with an extra bag (one of those HUGE red/white stripy ones) and still no excess luggage!! We were wrapped!
I would suggest taking your car seat too.... if you think its going to rain maybe just cover it with a garbage bag and tape around it so it doesnt get wet... ours got a little damp on the trip home ... was raining when we got back to QLD.... and I dont think its stopped actually :P

Good luck and enjoy your holiday!!
xoxoxo