How to block wind between rooms
I know around here there is a kind of temporary transparent caulking that can be put around windows and such to prevent air flow. In the winter, it prevents cold air to come in, and in the summer it can be put around window air conditioning units to prevent warm air from coming in and cool air from going out.

This type of caulking is easy to remove at the end of the season. 

Last year we used plastic film taped around the windows to prevent air from coming in. This year we'll try that caulk, which worked very well during the summer. 

If air is coming from under your main door, you could try and put a towel when the door is closed, or a carpet, even. 

(The goal here is to prevent air from even coming into your apartment.)