Yes very normal Laura. I didn't want to say when you posted about asking for a sweep but a lot of MW's won't give you a S&S until you have hit 40 weeks unless there is a medical need or you're going to be induced early.
Induction at 42 weeks is again normal, you don't HAVE to have it, that's your choice, but most suggest induction then. They won't really do it any earlier unless again there's a medical need.
With the movement, are you counting kicks? If you have any worries the hospital will put you on a trace to check baby, they might suggest you drink a glass of ice water and wait 30 mins - 1 hr to count movement before you go in.