*Similar questions posted before, but never got definitive answers.

So I decided to make a series of mostly 18th-century historical fiction stories involving how North America was colonized so much over the majority of the 1700's. It will also involve a lot of alternate history too (But not too alternate! It will stay accurate to the timeline!)

This first story begins in the final years of the Queen Anne's War (1711-13, or 14? Not really sure when it really ended) and the settings take place in the West Indies, majoring around The Bahamas, Cuba, Jamaica, and Saint Domingue. I'll give you the gist of my story so you can understand what it's about; the protagonists are Pirates who struggle to survive their way of life, by expanding their Pirate's Republic (this is the alternate history part, where Pirates were a much stronger force than they really were). The main antagonists are part of the British, Spanish, and French empires that also battle for control over the islands I mentioned while at the same time want to destroy the Pirate's Republic.

Now here's the part I need help with

I know that the European part of this war was called the Spanish War of Succession. I know that England, Spain, France, Portugal and The Netherlands had their navies battling each other in Europe.

Now to The Big Question, with the answer I really need

If Britain, Spain, and France were able to colonize the Carribean, establish settlements, AND have navies there...did the Portuguese and the Dutch at least send their navies' ships to the West Indies? (around the Islands I mentioned)?

They may not have established any settlements there, I'm assuming, but did they send any ships to fight near these islands?

Why am I asking this? This is a crucial part of my story, with or without it, it will alter the entire plot, so I really need help with this.

I thank anyone so much who is able to answer this.

EDIT: Really need help with this.