Tell him you don't want him to know how much you weigh and to wait till the vitals are taken.mine are done in a separate room so my husband can wait outside but honestly, will he really care how much you weigh? He has and will see you at the most embarrassing moments of your life.
Ultrasounds depend on your doc and your insurance. Depending on your history you may not get another one until the anatomy scan around 20 weeks. Again depending your doc and insurance.
My doctor requires weight at every appointment. Just my opinion, but after 7 years, he probably already has a good idea of what you weight anyways.
Just tell the doctor you'd not like to be weighed. I was never weighed this whole pregnancy, it's not something that has to be done. And I'm sure your husband doesn't care how much you weigh anyways :-)