In 1583? No, it would not. This was at the time the netherlands was losing its war of independence against Spain and even long before England was the strongest nation on sea (that would be Spain and behind them either Portugal or France).It would definitely face opposition, Anglo Dutch union means dominaton of essentially the entire North Atlantic.
T That being said, I don't think the other European powers would have allowed an Anglo-Dutch Union to survive.
All of it. Well, she would only have influence of the parts that weren't occupied by Spain, of course, but in theory all of the Netherlands.The entire Netherlands or just the area that ended up being the Dutch Republic?
Shed only accept if the Netherlands were winning, paid alot of money, didnt ask England for anymore help and were guaranteed not to be attacked by France/the HRE later on....which is bordering ASB