OK - you are probably going to meet widening access criteria and you have excellent grade predictions but no sciences and little experience of medicine.
Applying for a medical degree is definitely the right way to go but if you are going to do that you can't place too much emphasis on neuroscience/psychology in your personal statement as the degree is medicine and they know that many people change their minds on what sort of medicine they want to do when they know more about it. I wonder why you ruled out UEA as I know that they will often offer those they reject for medicine the option to be considered for an alternative course. I think they then allow you to submit a separate personal statement.
If you didn't get a medical place what would you do next? One possibility would be to do a fast track chemistry A level (you do AS and A level chemistry in a year) and AS biology. If you get the A* grades you should be capable of getting A grade predictions and reapplying to medicine with science subjects if necessary. I don't know how you would manage financially but something to discuss with your foster parents/ social worker. You could apply for other courses in clearing if you or through extra if rejected by all medical schools.
Do think hard about running a car at university as it's rarely necessary and an expensive luxury. Most students get around by bike. I can appreciate why you may want a studio flat to yourself but living in hall is helpful for meeting other students.