Sure, it's ok to have intercourse during the first 3 months. Might be a good idea to ask your partner not to be too rough, that's all. The slight bleeding you are experiencing is quite normal, a small bump to the cervix during sex can cause that, but it should clear up within a couple of hours after sex. I noticed the bleeding stopped happening into the second trimester. The only time you will need to worry is if the bleeding gets heavy, like a period, accompanied by abdominal pain and severe lower back pain as these 3 things can be signs of a threatened miscarriage. Enjoy your pregnancy,

good luck