People here keep talking about probate but IME of two relatives dying, probate only applies if there is no one directly alive to inherit their assets.
This is incorrect.
Banks may require probate, they all have their own rules. For example, Nationwide require probate if the deceased had over £50k in accounts with them, Coop is £30k, Aegon always require it - etc.
If all money was held in joint accounts you probably won't need probate.
My dad died, his beneficiaries are all alive and so far we have waited 24 weeks for probate, and counting!
You can't inherit debts
No, but the estate has to be "settled", which means paying all debts from the estate, gathering in all payments, totting up and then distributing to beneficiaries.
Did you own a home jointly with him? If so, then half of this home (depending on who is named on the mortgage etc) is part of the estate.
This is also wrong. Who is on the mortgage isn't relevant. It is who is on the DEEDS and how the property was held - either joint tenants or tenants in common. Both are dealt with in different ways on death - only if held as tenants in common does it form part of the estate. For joint tenants it passes directly, outside the will (but still declarable for inheritance tax) to the other owner..