Can Rubella Shot Lead To Miscarriage?

I had a miscarriage 2 days ago. I was just 7-8 weeks pregnant. They were not sure was it a ectopic pregnancy in my left ovary or just miscarriage. they couldn't find a baby at the ultrasound. Lost my baby while i was in the ER bathroom. they let me go home couple hrs after that without checking is everything out. all day today im having a pain on my lower left side, and it kinda goes in my left leg too. bleeding stopped today. no other symptoms. im taking tylenol extra strength all day.
is this common? and one more question! can rubella shot be cause of my miscarriage? i got that shot 6 weeks before i stayed pregnant. thank you