Portrayals of the archetypal plague doctor costume of beak-like mask, ankle-length waxed overcoat, gloves, boots, wide-brimmed hat, linen hood, and overcoat date to the early modern period.
The first known written description of an herbal-stuffed beak mask was during the 1656–1658 epidemic in Rome.
https://en.wikipedia.org/wiki/Plague_doctor
Those masks aren’t medieval
Halberts and early guns actually developed around the same time. (14th century)
You gave it exactly backwards. The castle is by definition the combination of residence and fortification. The purely military fortress only really developed after the medieval period.
In this case the movie version is closer to reality than your “realistic” version. Castles were not just built for defensibility. They have a strong representative aspect. Of course they made them as nice to live in as possible. The walls were covered in tapestries or wood panelling and many rooms were heated. For unheated rooms there were movable heaters (basically small portable fire pits).
Heres an example of a hall in a castle: https://de.wikipedia.org/wiki/Très_Riches_Heures#/media/Datei:Les_Très_Riches_Heures_du_duc_de_Berry_Janvier.jpg
There were many different variants of jousting. While trying to knock each other off the horse was one of them, it wasn’t the standard. More commonly you would try to break your lance on the opponent, with different scoring depending on where your lance hits.
Do you have a source for gunpowder coming to Europe through spain in the 14th century? Gunpowder is mentioned in european texts from the 13th century (but not necessarily for use in weapons) and as far as i know it isn’t really clear how, where and when exactly it came to Europe.
It was to protect against miasma
https://en.wikipedia.org/wiki/Miasma_theory