this page might help
As Dexi says, you should have the "day 21" tests done 7 days before when you expect your period to be, or 7 days after when you ovulated (if you know that).
So if you have an average 28 day cycle then test day would be on day 21. This is why it's called a day 21 test.
However if you have an average of 30-31 day cycle (like you) then the test day should be on day 23 or 24. Day 21 would be too early for you and could give a false result.
Progesterone should be above 30 I think to show ovulation (though some websites give different amounts, eg US websites, but basically high is good).
Thyroid will probably test for TSH, T3 and T4. Your TSH should be between 0.5 to 5 to be normal, but really it should be between 0.5-2 for conception purposes.
Thyroid, FSH and LH are usually tested on day 3 rather than day 21 AFAIK- perhaps something to query with your doctor?
Is your DH/DP also getting tested? he should get a sperm analysis done ideally.
The blood tests are definitely a big step in the right direction. I finally got a BFP last month, two months after blood tests showed thyroid problems and I started thyroid meds, so it can really help pinpoint the issue.
Very best of luck.