For what it is worth, camping for 30 years, spent 4 weeks above artic circle in 2002 with (non camping) girlfriend yah de yah de yah.
And the best tent I ever had was 1 & 1/2 man size. Two of us in that kind of tent guaranteed closeness

And warmth, and dryness. Small high quality tent costs same as larger lower quality one.
You have a tent, learn to pitch it. Ideally in the dark, and in the rain. But realistically, just pitch it. I remember folks going around the world given hugely expensive tents and petrol stoves, setting off, then emailing a GS Forum looking for advice on how to pitch said tent and & how to make the stove cook ..........
Camping kit:
Sleeping bag, hollowfill, not Down (bigger to carry, but still works when wet). Anjulak make nice His and Hers (Hers has a wider width at the hip (is this sexist?) , his has the zip on the wrong side (so you can zip them together should you so wish).
Forget petrol stoves, they are the business, wonderfull and absolutely the very best thing in all the world. I have a separate feed off my petrol tank to supply the cooker. But absolutely useless unless you can do a strip and clean, preferably in complete darkness.....Personally, if I were a keen amateur chef (like me) I would get a Trangia, or something by Camping Gas (as I did for 20 years). Otherwise, I would look up McDonalds on the web and plot the co-ordinates into my GPS. No other GS'er will be there, but dont worry, they are just in the Pizza Express next door.
Remember, if you are going to cook for yourself, it aint just the stove. There's the pans, plates, cooking implements, tea towels, washing up liquid yah de yah de yah.
But if you do decide to go that route, go to Sainsburys, and buy a tin of Celebrity Bacon Grill. Slice one inch thick, fry, makes the best bacon butty in the whole world. Ever.
And whatever type your boxed stove is, unbox it. And cook on it, and it alone for a weekend in the comfort of your own garden (or house if you must). Best to learn how to cook on it under these circumstances, than in the field. And learn what cooks easily and well (Bacon Burger), and what never cooks at all (Venison Sausages).
Thermorests, absolutely, yes, wonderfull etc etc, But will cost you £80 a time, and we managed for years with £10 camping mats. Only upgraded for the trip above artic circle. For two nights in Wales, in May, no brainer......
Torch is a good idea, I have had a Petzel LED head jobby for the last 3 years or so, and wish I had had it years ago. Otherwise, any torch will do.
Heat packs (from adventure stores)- you break them, they give off heat, are a good backup. I have loads, only had to use them twice. But they are cheap and take up no room and are a good thing to have in reserve. Lob a couple into a sleeping bag, and get eight hours heat. Absolutely not necessary in May, but I always carry them just in case

.
Inflatable pillows take up no room and are great insulators, although I personally always used my coat (we had a rule, anything that didn't have two separate uses couldn't come).
Mission critical stuff should be thermals (it can get very cold at night), a hat, and a sense of humour. And most of all, decent riding gear. If you go to bed cold and wet....you wake up cold and damp....you put on gear that is still cold and damp......
Lastly, once you are there, camping, cold, wet, miserable and hungry, just do not be afraid to approach anyone in a tent who looks reasonably comfortable. There is nothing a good camper loves more than helping out a poor novice in distress. Just allow us our smugness in return
