1. on demise of original tenant, the pagdi place will go to the family members living with the tenant at the time of his death in the pagdi premises or if no such family members were so living then it will go the legal heirs of the tenant
in this case if the tenancy is required to be transferred to the son, then you will have to approach the landlord with a request to transfer rent receipt to the name of the son. He will require to submit the NOC affidavits of the legal heirs of the deceased tenant, stating that they have no objection if the tenancy is transferred to the name of the son. You will have to pay some transfer fee to the landlord. The transfer fee amount is not prescribed by law. That you need to negotiate with the landlord
2. if the ultimate goal is to sell the pagdi premises, then I would suggest NOT to transfer the tenancy to the name of the son. Because for that you will have to incur transfer fee expenses as above. Instead you can search for a potential buyer and seal a deal with him. From the agreed consideration which you will receive from this buyer, you will have to pay transfer fee to the landlord to transfer the rent receipt and tenancy to the name of the buyer. Again for this there is no fixed fee prescribed by law. However by custom the landlord can charge max 1/3rd of the sale price towards his transfer fee. This also you can negotiate with the landlord and have it reduced.
Once the landlord agrees to do the transfer, there will be a triparty tenancy agreement between you, your buyer and the landlord. This will have to be registered with sub-registrar office
3. it depends on you. If you take hard cash you will save on capital gains tax. If you take consideration by cheque then you will have to pay capital gains tax subject to the standard deductions which are available in law.
4. after paying the capital gains tax, you can wire the balance sale proceeds through banking channels to your US account. Your bank should give more clarity on this aspect
5. same as above
If you decide to take the sale proceed by cheque then you can save on the capital gains tax by investing in another residential house within the stipulated period given in the prescribed section of income tax act. A CA will help you in the tax planning