Can't even see an oak in your recent picture, so seems like you got rid of it pretty effectively?
I have a self-seeded oak in my garden that is 3 years old and it's not even a foot tall yet. You've probably got some time until it's a "monster".
I can see a rose and a fuchsia in there, and sundry other weeds. It was probably quite nice once, just needs some tidying. Fuchsia can take a good hard pruning but the time for that has probably passed this year. You can remove all the dead wood, though.
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