If the strip was of quality there is no reason to disbelieve. Of course there are chances of false positive test, but it is rare. You do another test with your morning sample of urine to confirm. Get the strip from a good shop those maintaining medicine quality. If positive report to your doctor. Congratulation.

From what you have written it appears you are suffering from Endometriosis. This is known to cause fertility problems even in the absence of ovarian cysts.
Since you have a small cyst on the ovary it would be best to start taking pills for three months and then repeat the USG to see if the cyst has gone. If still there you may need a repeat laparoscopy first followed by IUI to help you concieve

If sperm count is >15 million/ml and motility is >32%, your report is normal you can go for iui treatment. Medicines rarely help in correcting this issue. As there was delayed spill, you should go for laparoscopy which can identify the problem clearly and can be treated at the same time during laparoscopy. Iui is correct treatment after 3 failed cycles with medicines only.

Hello, you have to use it throughout the cycle, and as this protocol has been implemented for fertility and assisting conception so this may be repeated even for next cycle if she doesn't get pregnant.

Absolutely safe- these are usually advised till 8-12 weeks. But nowadays we do not prefer tjis drug because of risk of ovarian hyperstimulation in mother.

It is extremely important to have normal thyroid levels at the time of conception. The miscarriage could be related to low thyroid. Also, the baby's brain development needs normal thyroid.
Fatty liver means her 'cholesterol' level is high.
So your wife has hormone imbalance, which can be treated safely by Integrative Medicine. Only after normal thyroid should she get pregnant.

Hi yes the injections are safe. Its given to support your pregnancy in case you have had a previous abortion or some spotting or bleeding in this pregnancy.