Is this loop problematic for the analog readings?
My question is, this is not a ground loop since the source is not
  earth grounded in source side. But is this loop still problematic? If
  so each traducer should use a separate power supply?


Firstly if point A is connected to measurement ground via a 10 k resistor then the other 10 k resistor is superfluous. Get rid of it. Now there isn't a loop. However, that loop would not be a problem because it would not carry plant earth fault currents i.e. only one point was hard grounded. Each transducer does not need to use a seperate power supply normally but, as always with a question like this, there can be exceptions when devices are not specified.


  Their ground and the shield connected at the source ground which is
  recommended


If this is recommended then so be it but, the normal default procedure is to ground the shield/screen at the receiver end because it is that shield that needs to be tied to local receiver ground to minimize common-mode noise at the receiver end.