Hi Sunflower.
I think Ed's (Filthiestfis's) post is a reference to your slight mis-spelling of my screen name. (My user name is Spanish for 'good boy' or 'fine fellow'. Ed seems to think that your version sounds more Chinese than Spanish!).
Unfortunately, with very few exceptions (which don't seem to be relevant here) the right to claim for 'unfair dismissal' doesn't commence until after 12 months of employment. During the first year of employment an employer can dismiss an employee for almost any reason whatsoever. The only caveat is that, unless the dismissal is for 'gross misconduct', the normal period of notice (as defined by the employee's contract) must be given.
However you seem to have been mis-advised about the rules for Jobseeker's Allowance (JSA). I'm not an expert in the field but my understanding is that JSA will only be withheld if the applicant has either directly or indirectly made himself unemployed. So someone who simply walks out of a job won't immediately get JSA. Similarly, someone who is sacked for stealing from his employer might not immediately get JSA. But when someone is dismissed for a reason (or the lack of a reason) which is not his own fault, JSA should still be paid straight away.
As I stated, I'm no expert on the JSA rules but I believe that your ex should be immediately entitled to receive it. That, of course, assumes that he qualifies for JSA under the normal rules relating to National Insurance payments (for Contribution-based Jobseeker's Allowance) or his income and savings (for Income-based Jobseeker's Allowance).
(I'm currently receiving JSA and I've never been asked to provide any explanation as to why I'm unemployed. I've simply received JSA automatically from the first day of my claim).
Chris