I agree that some jobs are less attractive than others.
'My daughter applied for a job recently at a local care home to do laundry & kitchen work.
...
They'd had 0 applicants.'
Was it a permanent job? Was it an apprenticeship paying less than minimum wage? Did they have no applications from hardworking immigrants either?
'My wife works for a company that specialises in providing care workers and support workers. They are crying out for people who can work.'
Do they require experience or can unskilled people do those jobs? Are immigrants applying for these unfilled jobs?
'Immigrants come over here with nothing but a desire to work damn hard and get on in life. They arrive with little/no language skills and no recognised qualifications. Yet somehow they seem to always find jobs that so many of our citizens claim do not exist.'
You say that some of these people "arrive with little/no language skills and no recognised qualifications" and yet they always find jobs etc.
How come our employers say that British workers lack the necessary skills and employ people "with little/no language skills and no recognised qualifications"?
Do these people have references?
I think there are far too many hoops to jump through to get even the lowest level jobs and I wonder if the agencies who place people with "with little/no language skills and no recognised qualifications" apply the same checks and hoops
Lots of people are out of work but do have qualifications and they are often not employed by employers because the employers think they are over-qualified for the jobs and won't stay in those jobs, but will leave as soon as they find something better. Those employers may prefer people "with little/no language skills and no recognised qualifications" because they will be less likely to leave those jobs.
Jobs which offer good wages, prospects and career paths will attract applicants.