Atilla,
As far as progesterone goes, you have that wrong. A day 21 level is only meaningful in someone with a 28 day cycle +/- a few days. In someone who has cycles of 37 days or more (as in this case)it will be useless.
In someone with longer cycles you need to time it much later to get accurate results, as I explained above.
In someone with completely erratic cycles you either have to do serial bloods weekly or even twice weekly to try and catch it, or accept that it is very unlikely that the woman with that cycle is ovulating and take steps accordingly.
In someone with such erratic cycles, the next step would be referral to an infertility specialist for further advice. However there is absolutely no reason why the bloods can't be done by the GP while that referral is happening - it is the first thing they will ask for in the clinic anyway so saves a lot of time to have the results at the first appointment. Otherwise you go to the first appointment, then they say get the bloods done, then you wait for that then have to wait 3 months for the next appointment then the results are inconclusive so you start again etc etc...
But get the referral underway now, of course.
I have personally been on both sides of the fence here, I know how it works!