If you want your questions answered, get a cc of your medical records from the hospital, and make an app't with your PCP -- let your doc review your records and answer your questions. Please don't tell me that you are willing to get answers from non medical moms who haven't seen your records.
If blood clots are an issue, your doc can recommend something like a baby aspirin a day, which is what I took following surgery. But the blood clots form largely due to inactivity after surgery, not due to pregnancy. So the best way around them is to be up and about (something you can't do if you have a broken leg and are prescribed to sit around elevating it)
Don't panic. Ask your doctor. Get good qualified medical advice. I would get a cc of the records first. Read thru them yourself, think about the info, read through them again, and WRITE DOWN your questions. . . then go to the doctor with all the info AND the written list of questions. When you are there, don't panic -- just ask your questions calmly. Or you can ask your OB/GYN since most of your Q's are based upon childbirth and pregnancy.
Be calm, be as intelligent as you can and ask lots of questions. Your doc may be able to tell you why they were looking for blood clots based on the medical info they had, and can explain what they do and don't know. You may not get all your questions answered, and no one can ever tell an expectant mom not to worry with any real success, cuz we worry anyway . . . but get your Q's answered by someone with 12+ years of medical training, not by a bunch of moms, okay ?
Peace, and have a wonderful time with that new baby of yours !!! They are SO precious, and we don't ever realize how fast they grow up until they grow and change on us !!