Ah right, OK.
I don't think you have anything at all to worry about and there are no indications from what you've written that you're diabetic. Disclaimer - I'm not a doctor, just a randomer on the internet who knows a bit about these things 😊
Read what @Twentywisteria wrote above - it's excellent advice and covers everything in a nutshell.
Food sends your blood sugar up, and just an hour after eating your body is still dealing with it. The fact that it reduced very quickly shows that your body is able to deal with it efficiently, and take the necessary actions.
That's a perfectly normal reading after eating. And the fact that you might get different readings on different days is also normal. It's not a perfect science and the readings can be influenced by lots of different factors.
The fact your HbA1C is spot on is fantastic, and you can be very reassured by that.
Re the hypo - in non-diabetics it's pretty unusual to have these as a matter of course. If it was a regular occurrence I'd suggest going to your GP to get your bloods checked.
However, it is slightly different during exercise - and you say you were cycling. There is something called exercise-induced hypoglycaemia which you don't need to be diabetic to suffer from. It's more common in diabetes, obviously, but it can happen to non-diabetics too.
Exercise demands glucose from the body and there are various factors which can make it difficult for your body to keep up with that demand, including the type of food you've eaten. So it's not out of the question to suffer a hypo, even if you're not diabetic.
Exercise by itself can lower blood glucose - which is why it's recommended as a way to help control blood glucose (not usually by itself but part of a raft of measures). It's not just about losing weight - even if you're a healthy weight, exercise can help with glucose control.
Does this happen regularly when you exercise or was it just a one-off? And when you say you've adapted your meals - have you exercised regularly on this new diet and been OK?