Show list of data based on multiple criteria?

Good morning,
I'm trying to figure out how to create a list of data that'll fill in a column of cells based on multiple changing criteria. I feel like I'm missing something obvious...

I have example.xlsx attached with two sheets. Sheet1 & Sheet2.

Looking to have a list of the orders from Sheet1.A:A be displayed starting at Sheet2.A3, but only display the orders from that column that match the 4 criteria:

Display orders that:
Sheet1.E:E =Y, and
Sheet1.D:D =Sheet2.B1, or
Sheet1.D:D =Sheet2.C1, or
Sheet1.D:D =Sheet2.D1

Sheet2.B1, C1, and D1 are all data validation lists and will change based on what I'm looking for, and that can be up to 3 different carriers. So I want to see a list of orders that are all due to ship today that are showing to ship with any of those three carriers.

The way that my example.xlsx is setup, I would want a list of orders to be shown that are "Yes, shipping today", and are for carrier "CTII". It should show me a list starting at Sheet2.A3, listing [123456, 912345]. If I changed the carrier on Sheet2.B2 from CTII to "EXLA", then I'd want just [234567]. If I had Sheet2.B1=CTII and Sheet2.C1=EXLA, then I'd want to see [123456, 234567, 912345], and so on. Does that make sense?

Thank you!