Well, there's a list and a half. Obviously each area will be different. As you said you've looked in the Rojales/Quesada area, here are some that I can answer:
Comm/Suma costs of the property's per Annam
Will obviously be different for the area. In the Rojales (which covers Quesada and Dona Pepa) the IBI (local tax) is based on the registry valuation. This will not be the price you pay, a little like housing bands for council tax in UK. This is around 1% of the registry valuation. Ours is valued at 210,000 (not worth that anymore) and the IBI is €201 per year. For community charges, it depends on the community. Some as little as 200 euros others pushing 1,000 euros depending on facilities, lifts, swimming pools, gardens etc so it's pointless to quote those. You need to ask someone in the community you are looking at.
Insurance of property ( a rough guide )
Our buildings and contents insurance was €220 last year. Look around, there are lots of companies all trying for your business. Try to avoid the bank as they are most expensive. There are UK companies that will provide this.
Require Internet connection ( package deal for phone/mobile/Internet )
Lots of deals going round. Telefonica is the Spanish national provider but plenty of others providing the packages. Lots advertise in the free papers and can be anything from 20 to 60 euros a month.
Electricity ( again a rough guide)
This has gone up (as it has everywhere). It was about 80 euros a month but, looking at latest bills, we have now budgeted for 100 euros a month. Included aircon, heating and hot water.
Gas ( again rough guide of costs )
None of the areas you mention have mains gas. You would be stuck with bottled gas.
Water rates ( rough guide of costs )
All metered. Depends on a lot of things like if you have your own swimming pool and so on. Living here permanently ours are about 240 euros a year.
Health care ( again rough costs )
Depends on your circumstances. You will get around 2 years free if you have paid NI in UK up until you leave. After that you will not get it free until one of you reaches retirement age. In the areas you are talking about, the system is constantly changing and you can either pay 90 euros a month or wait until they change the system again as they are talking of bringing in free healthcare for all residents. Prescriptions cost 40% of the cost of the item or 10% if you are a pensioner/classed as disabled up to a maximum of 8 euros per month. I'm not sure if there's any cap on the under pensionable age prescriptions but chronic medication is less.
Sky tv package deals ( will be bringing own box )
Receiving Sky is against the terms and conditions in Spain. Lots of people do it but most rely on freesat. You can get a copied card share but it will be on the quiet. Sky won't provide a card to a Spanish address. Dish installation depends on the size of the dish and so on. 1.4m dish with receiver around 350 euros but lots of deals.
Vets( local)
There are plenty of vets in the areas you have mentioned but I don't know the charges, sorry.
Furniture package deal companies
If you buy a resale property, they generally come furnished. There are companies like Arca which will completely furnish your house from around 600 euros but it's quite poor quality. Loads of other companies around.
Car running costs plus insurance/mot/tax ( we will bring over our Car from UK to start with )
Depends on your car. Insurance is about the same as UK but you get breakdown insurance included. Petrol about £1.20 (1.40 euros yesterday) a litre (95 unleaded) but goes up and down like a pair of gigolo's jeans. Car tax - depends on HP and a fiscal horsepower is given to each car. My Ford Focus 1.8 is 46.20 euros a year. Each province has a different charge depending on how much they need for that year. If you bring your own car and intend to keep it as a resident, you have a month in which to transfer it to Spanish plates which could cost about a thousand euros (new headlights, fog lights changed sides, registration fees etc). If you don't intend to keep it here, older second hand cars are expensive compared to UK. New and up to about 3 years old are similar in price.
As said, renting is a good way forward with a very good 3 bed townhouse at about 500 euros a month and others even cheaper. Jobs are extremely difficult to get and non-existent if you don't speak Spanish unless you want bar work (at about 4 euros an hour) or self employed but then you have to pay just over 250 euros a month social security whether you have money coming in or not. My bills, everything with no rent or mortgage, comes to about 300 euros a month. That's electric, water, community charge, IBI, insurances, petrol and so on. You can live comfortably on 1000 euros a month (see other posts) but, of course, you may need more for the odd trip back to UK to see the family and so on. Getting the paperwork sorted is not as difficult as some make out especially if you come under the Rojales area as they are very helpful for the council registry (padron) and the SIP (health card).
Again, as said, don't overthink it and plan too much. There are thousands and thousands of us Brits over here enjoying ourselves. For some it has gone disastrously wrong with illegal builds, agents and builders going bust, missing family and so on. Try renting for 6 months and see if you fit in before burning your bridges. Property is very cheap at the moment and are about half the price they were 4 or 5 years ago or more.