Funeral attire for a female non-jew? Father of a dear friend has passed.

Someone close to me has passed, and I’ve known him for near 30 years at this point.

I’m not Jewish, former catholic-current methodist, but I’m attending the funeral. I’m planning on an ankle length black skirt, a formal black top with a black sweater, a black headscarf/kerchief, dark pantyhose, and black pumps. The shoes are my only solemn shoes.

The synagogue they attend is on the more conservative side, the me and women sit in different sections, so I’m trying to dress appropriately.

Is this okay? Anything else I should know? My parents are in ill health right now, but are sending kosher food to the family. Since we read that flowers aren’t really the thing.

I’m also planning on sending my friend something. Too much? Appropriate? We’ve been best friends our whole lives. 3 decades basically.