"If you have been working at an organisation for less than 2 years, they can make you redundant with just ONE MEASLY WEEK of notice and NO redundancy pay."
Are you sure? I thought you got 1 month notice after you have completed your probation. I thought that legally probation periods were limited to 6 months.
No, and no.
Many contracts may say that. By law they can have a notice period of one week, up to two years of service. When you reach two years it goes up to two weeks, and then goes up a week a year until you reach 12.
Probation periods have no legal status as such in the UK. They are simply an internal mechanism. Shorter notice periods or reduced benefits often apply by contract during a probationary period. However, legally it is as easy to dismiss the employee a day after their probationary period as they day before it ends (subject to any contractual changes), provided they haven't reached two years of service.
Regarding redundancy pay, bear in mind that statutory redundancy is pretty minimal. It's a week's pay per year of service (less for younger employees, more for years over 41). A week's pay is capped at £464 (which means that anyone who earns over £24k a year doesn't get a week's pay). So at two years it's £1,200 at most.
Yes, that's enough to make a difference to people, but it's hardly going to tide most people over to the next job unless they are very employable. You could easily get made redundant with two years' service and walk away with the equivalent of only 6 weeks' pay (or less if you earn over £24k).