Is Fast Baby Heart Beat Normal?

Because they are small, blood circulates more and heart beats faster.  
Newborn:  100-160 bpm
1-10yo:  70-120 bpm
If the heart beat is beyond the range while the child is at rest (not crying), visit your doctor asap.

Am seven weeks should my baby have a heart beat?

I'm 6 weeks pregnant..my its a normal for fetal to have a fast heart beat??

Yes  its  a  normal   for  a  baby  to  have
a    fast   heart  beat