Wills and Estates

What happens if only personal property exempt under Florida Law is left by deceased?
What happens if the estate of my Father only consists of what I understand is only personal property exempt under Florida Law?
Do I have to go through probate for estate of only $60,000.00 in Florida?
My mother died in 1999 and my Father just passed in January, 2017. His estate only consists of a bank account containing $40,000.00, a car valued at $4,000.00 and person property. The total value is only around $60,000.00. He did leave a Will leaving everything to me. Do I have to go through probate? If not what is the procedure in Florida I need to follow?
Is it legal for a spouse to waive rights provided by laws dealing with spouses at death of their spouse?
Is it legal for a spouse to waive rights provided by laws dealing with spouses being entitled to elective share, renunciation, homestead, and other rights?
Is an agreement to make a Will and leave property to a person valid in Florida?
I need to know if an agreement to make a Will leaving property to a specific person is valid in Florida. The reason is that my Mother has a young person that is her caregiver. I just found out that my Mother executed a documents agreeing to give the person her property if she would care for her. My Mother is 86 years old but still very competent.
Was my bequeath of 50,000.00 satisfied since my Father gave me $50,000 before he died?
If I was left $50,000 dollars in my Fathers Will but my siblings say that because my Father gave me $50,000.00 before he died that I am not entitled to another $50,000.00 as stated in his Will. The money he gave me was given after he made his Will. Can I get the money provided for in the Will? They say it was satisfied by the money he gave me. He lived in Florida.