If the advice given was that a claim could not be mad for six weeks then that is wrong. Self employed contibutions do not generally count to ward Jobseeekers Allownace. It is Class 1 contributions that count but if the employer has not been paying contrubutions only for about three months than it may be okay.
A claim should be made ASAP along with details of the person who said a claim could not be made for six weeks In this type of case, mis-direction should be looked at and if confirmed, a paymemt can be made for the amout not piad as a consequence of the misdirection,