Rule 61.39
(b) The holder of a pilot licence issued in accordance with this Part is not required to complete a biennial flight review required by paragraph (a) if the
holder—(1) meets the applicable flight crew competency check requirements
prescribed in Parts 119 and 121, 125 or 135;
You do not need a BFR for private flying as you are covered as quoted.
If you leave your employer then the question would be are you are OK until your OCA expires? I would say you are OK until then, except for the IR if it was completed as a competency demonstration as opposed to an IR flight test.
Remember when asking CAA their opinion it is just that, an opinion! It is the role of the courts to decide what the rules mean. The title of the rule is that they are made by Parliament and signed by the Minister of Transport, so the CAA don't make the rules.
It is compiled from the official ordinary rules that have been signed into law by the Minister of Transport and rule amendments made by Parliament in the Civil Aviation Act 1990.