Congratulations on your pregnancy! Firstly, it's normal to feel the way you do. I remember being convinced that I was going to have my ultrasound & there would be nothing there. I didn't even feel happy about my pregnancy until I had seen my DS for myself at that scan. I was so sure there would be a problem I even said to my DH that morning "this is it, I won't be a Mum after today"!
As for not having a blood test - neither did I. The GP didn't even do another wee test as they said todays home pregnancy tests are so accurate, there is no need. So I'm sure it's the same in the UK!
Remember every pregnancy is different & everyone's symptoms are different. I never vomited, only got car sick! Sounds like you're pregnant to me!