I was in the same position at roughly six weeks, except instead of spotting, I was full on bleeding. I went to the ER where they did a vaginal ultrasound, FULLY expecting to hear the news I dreaded, but expected. But, I didn't. I saw a little heart flickering away. Surprisingly, it did little to calm my nerves. 4 days after that, I was sent to the city for a "better" ultrasound, and dating (more high tech equipment then my local hospital). I was laying there waiting for the worst, again, but, there it was again, my little bean with a heartbeat of 133 bpm, dating 3 days ahead of what I had thought. At week 8 , I had another, and there I saw the growth after one week, and a heartbeat of 172 bpm.....it was not until that one that I felt reassured, finally.....and then a few days later, the worry stepped in. As far as the bleeding goes, I never got an answer as to what caused it.
Sorry, I am not overly helpful with great information, I just wanted to hopefully give you some hope in that bleeding or spotting does NOT always mean the worst. Keep your head up, and good luck!!