2. The direction of applying for the project is generally close to the subject taught. You have to ask the scientific research department of the school for details. Every school is different. Some school-level funds are purely formal, and of course they can be interdisciplinary.
3. The newly graduated doctor of management science and engineering should be responsible for undergraduate teaching first, depending on the arrangement of attending classes, and generally responsible for some master's courses, such as management, organizational behavior, company operation strategy, etc. The major of teaching is not critical, hehe, job promotion depends on scientific research results, and generally has nothing to do with teaching. If you have to talk about the chances of success or apply for funds, you have to talk to the vice president in charge of teaching and research, or talk to the leader in charge of introducing you. The human factor is far greater than other factors, hehe!