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Firstly, you cannot oppose the trustee’s discharge. You can attend at court and request leniency, but it would be more appropriate for you to contact your trustee in advance and do that before it goes to court. Leaving it until the court date would likely be seen as to little to late. As for the conditional discharge, it is difficult to comment without reading the text of the discharge. But normally payments and taxes are separate issues. So if you have paid $600 and the order was for $4,870.00 then there would likely be $4,270.00 still owing. The only time this would change is if the conditional order stipulated that the outstanding amount was to be reduced by tax refunds. As you can see everything is stipulated in that order, and without seeing the order it is very difficult to determine what the exact amount is. But you are right that if you send in the required amount then things would be re-evaluated.
My next question is have you been consistent with the payment schedule that you had agreed to. From the sounds of it you have not and that is the reason that they are applying to court, but you would know better than I would.
The final question is about the dividend sheet, once again you are best to discuss this with your trustee as I am simply speculating, but it is probably not listed as a result of the failure of student loans to send in a proof of claim to your trustee. The amount can only show up there if a properly filed proof of claim is received by your trustee.