1. I think you are on the NJ screen. It depends on what the boxes show versus reality that determines the right answer. If your w2 shows 100% of your NJ wages and 25% NY wages, then you need to exclude NY wages. If NJ wages are 75% and NY 25%, then together they make up your NJ income.
2. Remote work and taxation is evolving each year. Nonresidents are taxed on NY source income, which is primarily real property, like a rental house, a business, selling hats to tourists, services to NY clients and more. Being an employee in the state is also NY income. There is an extensive list at Nonresidents: New York source income.
Only the portion that is from NY source income should be included on the NY tax return. So the days you work from home, are not NY source income. A few years ago, they were.
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