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It will depend on when the June bill was due. If it was due on June 1st, there is a good chance of a 30 day late.
If it was due the 6th or later you should still be within the 30 day window if you can pay it tomorrow.
Good luck, a 30 day would not be good. Do they offer auto-pay as an option to ensure on-time payments?
when was june bill due?
I've been trying to contact fed loan servicing all day also. Same error messages as you are getting.
I wonder if something is up with all the student loan servicers? Maybe that could preclude from getting a 30 day late?