If you complete your Chapter 13 plan and receive a discharge, your mortgage should be current at that point. You will continue making regular mortgage payments for the term of the loan (or face foreclosure if you fall behind on payments) just as if you had never filed bankruptcy.
However, if you do not reaffirm the mortgage debt, you will not be held personally liable for the debt should you later lose the house in a foreclosure.
The secured debt on the property you keep is not changed. The interest rate, amount you owe, and payments stay the same.
You should be making the mortgage payments in addition to the Trustee payments, unless you are paying off the mortgage in the plan. In that case, you should talk to your attorney and make sure that the mortgage will be satisfied in whole and that you are making the proper payments for the real estate taxes.