"if worst comes to worst and my wife can't find a job, is it possible to live on about 1000 euros a month without having to dip into my savings?"
How much do you have in savings and how disastrous would it be if you did end up resorting to using them? (No need to answer!)
You have to start with the assumption that she won't find a job. Negative perhaps, but realistic and better than depending on it and then finding yourselves in schtuck. Her qualifications won't count for anything here, even if they're officially translated, and even if she becomes fluent in Spanish she will almost certainly never get a job in the Spanish health sector - so she'll be limited to caring for elderly expats, most of whom are probably skint themselves & can't pay much. There are some expat run care homes (probably mostly illegal) but at least in my neck of the woods they're mainly out in the sticks and only accesible if you drive & have your own car.
"outgoings in the UK are: Rent and C/C 550 euros, utilities 170 euros, internet 40 euros. Jin pays for the rest"
It seems from this that you're thinking that by cutting your rent & utilities down to €400 (from a combined €720) you'll be able to survive on the savings alone - the "rest" that Jin currently pays for will have to come out of that €320. So as someone else suggested, try making a budget, & see if you can live on that in the UK: if you can, then you can also live on it in Spain.
Don't know where you can get an apartment for €400 p/m inclusive, but is it near any facilities? Are you sure you'll be able to manage without a car? Because I doubt your €1000 a month will stretch to running one.
Dog walks are free, but golf certainly isn't. Can't see you playing too much, while still feeding pooch and paying any vet bills etc. Please don't become one of those horrible people who abandon their pets in Spain because they can no longer afford to look after them.
Healthcare - you say your needs are "assured" but Jin will have to pay. The question has already been asked (about whether you would qualify for free state healthcare etc.) but if you don't know the answer to this one, you need to do more research anyway. It's important.
Sorry if it all sounds negative, but many of us have seen far too many cases of people determined to "live the dream", no matter what sacrifices or compromises they have to make, only for it all to go pear shaped and then struggle to get back home.