The answer is yes, unless the specific product states it isn't. As of the moment everything is made to concentration levels deemed safe for infants. But as with everything you buy check the label to be sure. Also if you are concerned patch test first before use

There are around 50 essential oils that are contrindicated during pregnancy. Generally our creams are made at low enough concentration they are deemed safe for use, but we still advise caution and recommend using our cream specifically for patients and pregnant women, which have no essential oils. As with everything we always recommend you read up on all ingredients for your own peace of mind. As much as we pride ourselves on being safe and transparent, checking yourself is a practice we recomend you make habitual in life.

Again yes , check for any specific allergies you may have and guidelines to any medication you may be taking as you would anyway, But generally the products are made at concentrations safe to use in conjunction with most medication.

No , products may smell good enough to eat, but please resist the temptation.