What you would do is show the proof of payments as your defense to their action for non-payment.
Additionally, if you have proof of payment, and they know you've paid, then they will be committing a fraud on the court if they proceed with the action.
I suspect when they check and see they have in fact received payment they will non-suit their action against you. However, DO NOT merely accept the LL's statement that the case has been terminated. Unless you receive notice from the court, make sure you show up as scheduled on your summons. Many a time the LL tells the tenant the tenant doesn't have to show up--and the LL does show up and proceeds with the case and gets a judgment against the tenant.
As to breaking the lease--nothing in your statement is grounds to break the lease and move out. If you do, you would open yourself to liability for breach of contract--could cost you thousands.
See a local Philly area LL-Tenant attorney (I am NOT a PA attorney) and discuss local ordinances, housing enforcement and other possible options that might serve as grounds for breaking the lease, but right now I don't believe you have any.
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