My question involves landlord-tenant law in the State of: PA

One single home was rented for over a year. The two people on the lease were the Primary Tenant (PT) and her dad (PTD). The PT originally lived with No Name Nancy who was responsible for roughly half of the rent until Nancy moved out sometime over the summer of 2015. Around 8/15, Unaware Share moved in and agreed to pay half of the current rent charges.

On 11/20/2015 both PT and Share were evicted from the rental property due to an outstanding rent balance dating back to 10/14. PT claimed to have no idea why they were evicted as Share paid her portion of the rent to PT, and PT paid the landlord in full each month.

After reviewing the court dockets, it appeared that the landlord was after half of each month's rent since 10/14; possibly that Nancy hadn't been paying but seeing as she isn't on the lease or anywhere in the picture. Landlord began the eviction process in August or earlier and had sent multiple certified letters to the residence in question. According to court dockets, a male in the home accepted a court ordered hearing request from a server sometime over the summer.

Since 11/20, PT claimed she was reaching out to the Landlord to figure everything out and that she had contacted PTD to pay the past due balance and retrieve their personal belongings. PT continued to tell Share that she was waiting to hear from her dad or the landlord and that they could retrieve their property inside. PT began to mention that there was a chance that Nancy hadn't paid a few months rent.

Eventually Share contacted PTD directly and discovered that he was completely unaware of the entire situation, even though he was the cosigner, all mailings and contact attempts went to the residence in question.

With almost a month since the eviction, PTD finally spoke to the landlord and learned he owed roughly $10k in past due rent and that all of PT and Share's property had been thrown out. Seeing as the situation was caused by PT and her lack of responsibility, PTD offered to send a check to cover Share's lost property

My questions are:

What is the best way to go about this situation seeing as it seems that PTD is willing to "make things right"?
I have a feeling that getting a lawyer for Share is advisable. PTD is very very wealthy and successful and might want to brush this under the rug asap.

If a lawyer is hired, is there any way to pass the lawyer's costs onto PTD? It doesn't seem fair for Share to lose out on trying to get back the possessions she already lost.

How does Share protect herself and guarantee she is reimbursed if PTD isn't willing to pay the asked amount?

What kind of agreements might be written up?

Will Share have to pay taxes on any checks that she receives?