Like Kath said, a midwife can tell most of what you asked, by feel and listening with a scope. Though, sometimes, a second heartbeat will not be picked up until later in the pregnancy, 17 weeks or so, with just a scope. Depends on where the second baby is during that check.
The cord length, no, that they cannot tell. Even with a u/s, as far as I know.
For a more personal opinion, I did get a 20 week anatomy scan. I had 2 scans the first time, but only had the first as I had been cramping off an on for a few weeks (I was 9 weeks at that time and it was starting to concern me that it wasn't stopping) and my GP said we could look and see that all was well, so a quick, few minute scan was done. A small cyst was found on the side I was cramping on which explain that, and it was gone by 20 weeks.
For me, the 20 week was just to make sure that everything was where it should be and there were no physical issues that could be easily detected, which would need quick attention at the birth. I was amazed, when the doctor at the scan pointed to hands and feet movements and then listed about 5-6 problems, that the baby did not have, as if it did, the hands/feet would not have been moving like that. I didn't know there were things that could be checked off so quickly, just by a finger wiggle.
I want, as much I can be assured, that at birth, we are all full of bubbly joy, and not an OMG panic over something that could have been known. But that is just me..and as I am 36, I am in a higher risk group for abnormalities than you would be (there is also family history, we don't need to get into, which I considered). If the pregnancy is normal and the mother in good health (sans cramping at the start), I really cannot understand any other scan than a 20 week scan for anatomy, for any reason.
Just do your research and you will come to terms with what you feel right with.
Megan
Remember no one can make you feel inferior without your consent. -Eleanor Roosevelt
In my heart, I think a woman has two choices: either she's a feminist or a masochist. -Gloria Steinem
FKA Graciesmama