As I understand it if you try to buy a one Country Eurail pass for the UK you will actually be directed to the Britrail site- that is I don't believe a UK only Eurail pass exists- multi country ones can be used here but they are quite a lot more expensive.
As far as I know the two products are effectively identical. Eurail does not include Rail-Air buses from Heathrow, and probably doesn't cover the Welsh Highland and Ffestiniog narrow gauge preserved railways in North Wales.
Even at $968 that is a great deal. The same domestic 1st class pass (an All Line Rail Rover) only exists for a maximum 14 days and for seniors costs £915.40. So 28 days would cost me nearly US$2300.
$968 would pay for itself after 4 or 5 one way long distance journeys- like London to Edinburgh or London to Cornwall or South Wales.
You are presumably aware that only main line trains have 1st class- the vast majority of routes only have 2nd class cars. Very few trains in Wales and Scotland for instance have it.
Someone is actually travelling on every 1st class route at the moment for You Tube- you may find this playlist useful (still 2 or 3 routes to come at the time of writing)- https://www.youtube.com/playlist?list=PLgHquSuaKvDvTo9S9WOQcuVfKZSQQNS-E