http://hants.public-i.tv/core/portal/webcast_interactive/254333County Council-Train parking- Thu, 24th Nov 2016 – 10:00 am – Hampshire County Webcasts

Simply put, the county’s role in provision of parking for public transport modes is limited, so it appears,- because they give an agency role to WCC for parking matters.
You can use the link above to see the webcast.
My third question (and supplementary) is on HCC’s role -it starts at 1.02 hrs.