Not in UK, service inclusive was/is not an option on the Z4, but you do have a 3yr Warranty
I am almost due my 1st service and was quoted £152 all in but that is for a 2.0i. All I'm saying is shop around - I'm sure you won't find it as shocking as you think!
BTW Have you had your brake fluid changed yet? Its every 3 years from date of registration (weirdly not from date of manufacture so my dealer tells me) and I was quoted £70 all in.
I was told by my dealer that the brake fluid should be changed at 2 years. Whatever, I had it done on my 3.0SE with the service and all in all it came to just under £300.
It should be a standard oil service which at most dealers seems to cost £180, some are a little over £200 though, just ring around. You may be able to get 10% off too.
Get yourself in contact with BMW and they will confirm. They were very helpful when I contacted them via the website. Full warranty booklet and documents arrived on my doorstep 2 days later with confirmation that the warranty and car were registered in my name. I know the warranty should follow the car but I wasnt taking the risk.