I haven't done much traditional archery since my previous spell in the Eighties, but here goes...
For English longbow, look for a bow that's about the same height as you. I think most longbows are quite a bit taller than you
but a taller one might also be fine. For flat bows, look for one that's shorter than you.
Flat bows are generally more efficient than long bows at turning draw weight into cast, BTW. That's why I couldn't get along with English longbow and stuck to American Flat Bow.
You can manage more poundage with a longbow than with a recurve, because you just draw back and shoot -- there isn't, or shouldn't be, a holding phase.
Contact
Top Tox in Drighlington and ask whether they have any longbows you can try out. Jim's probably better on the trad bows than Lez.