Iirc, if you are on visa exempt, you need to get a visitor visa for 60 d or more at HK,SP, or anywhere out of taiwan, to get an ARC based on marriage. To get an ARC based on a white collar job, you don’t need to go out of taiwan.
To get an ARC based on your marriage, you do not necessarily need to be a dependant of your spouse.
You mean NIA, right? Yes, you will get more certain answers there.
To get an ARC based on marriage, you don’t need to work.