As per section 75(4), of The Limited Liability Partnership (Concept) Rules and Forms, 2008, The Registrar, before passing an order under sub-rule (2), shall satisfy himself that sufficient provision has been made for the realization of all amount due to the limited liability partnership and for the payment or discharge of its liabilities and obligations by the limited liability partnership within a reasonable time and, if necessary, obtain necessary undertakings from the designated partner or partner or other persons in charge of the management of the limited liability partnership:
The liability, if any, of every designated partner of the limited liability partnership dissolved under sub-rule (4), shall continue and may be enforced as if the limited liability partnership had not been dissolved.
However the partnership deed is to be seen for other conditions and liabilities of the partners which they are obliged to comply with during such circumstances.
For your second question:
You should know one thing that as it is you will not be entitled to a right or share in your parents' self acquired property, if at all they make any settlement in your favor, you may give it in writing that you are not interested in accepting the share of property proposed to be transferred on your name or even can orally refuse the gift or settlement. Suppose if the property is intestate upon the death of any parent or both, you may relinquish your rights in favor of the co-sharer by executing a registered release deed in their favor.