I'm pretty sure you can take starflower oil with HRT and aspirin. I've been doing it for many, many years. Omega oils are good to take for all sorts of reasons.
The labels on most things say you need to check with your doctor about any contraindications; aspirin would only be a problem if you were taking it all the time and HRT shouldn't be an issue. Some herbal remedies do need to be taken with care e.g. St John's wort.
Starflower is supposed to be good for balancing hormones and good for the skin.
Happy Birthday. DG x