Hello and welcome,
Glad you made the decision on the Medina one 0 and more importantly, I'm glad that you did the research into its history to satisfy yourself that all is good.
However, I am a tad disappointed to hear about your work history - actually, just the bit where you make some spurious claim about the rebadged Honda Accord then becoming a Triumph

(I will never accept them as being a Triumph.... in fact, the jury is still out on whether the TR7 was actually a Triumph).
There are many, many opinions on tyres and oil... all of them are probably extremely relevant to the author of the post, and their car, with their use..... and may or may not suit you.
There was a recent thread which referenced an article from Opie oils, which may be worth a quick read....
viewtopic.php?f=33&t=28634&p=366637&hilit=opie#p366618After reading that, you'll probably decide that a good synthetic 0W40 will suit your use and engine mileage.
As for tyres, it will depend on your driving style, intended distances of travel (annually), budget and preference.
Toyo T1-r suit lots of people for a reasonable price (for road use)..... some like 'top-brand' tyres Avon/Goodyear/Michelin - with most people agreeing that you won't beat a 'good' Michelin for everyday driving, over longer distances...... personally I would rather sacrifice a bit of tread wear life and some fuel economy for the extra grip that you get from a softer tyre (because I don't do huge mileages in the car anyway), so prefer a track-based compound in a road tyre pattern (sold as 'fast road' tyres). There are a fair few of these tyres about in a suitable size with manufacturers like Toyo & Kumho having an offering in the sector......... but as anyone here will tell you, I (personally!) don't think you'll find a better tyre than a Yokohama AD008RS, and they are what I always buy.