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Hello. My name is***** am going to assist you with your question.
Depending on what the lease says, she is entitled to charge you a late fee for being late on the rent.
However, it is her responsibility to fix the bathroom. If she continues to leave the bathroom in the state it is in (and this is the only bathroom in the property), this can be what is called a constructive eviction.
The issue with the electrical bill is a separate one. You have the responsibility to pay the utilities. Normally, the landlord would require you to put the utilities in your name. In this case (where the utilities are under the landlord's name), if you fail to pay, then the landlord is forced to pay the bill. However, they cannot shut off the electricity until you pay as this is another form of a constructive eviction. The proper remedy would have been to sue you for the nonpayment of the utilities.
I think the best approach for you would be to agree to pay the rent into the court registry contingent on the landlord fixing the bathroom. You already had the electricity changed to your name, so make sure to continue paying that on time. Offer to put all the utilities under your name so that the landlord doesn't have to worry about that.