for achievement world conqueror do you have to own every province in the world or just have every tag as your subject?what WC are you going for? Achievement? World domination (no protectorates)? One-tag?
If you're going for the achievement you're practically done, you just need to integrate Portugal sooner rather than later (subject of subject does not count for the achievement AFAIK). Once you integrate Byzantium, add to HRE and release Achaea and Morea as princes and feed them land in North Africa ASAP. They will have religious ideas.
Cut Muscovy in half and don't let the Europeans get around Africa and that's all the main targets wrapped up. Don't ignore Ethiopia, that region takes a lot of wars to clean up. Bankrupt Timurids if you can.
For fastest complete, abandon administrative after spam hiring mercs, then go exploration/expansion, which gives you enough CBs to mass-protectorate entire ROTW in 30 years.
do protectorates automatically grant military access to you?
I mean I was wondering If I'll even make it the pace ive been goingYour priority is not to let these westernise at all. If any other Euros have gotten there, you need to conquer their land and put it in a trade company. You may need to conquer more due to the current core westernisation bug though, as you need to take out every country with a core in your trading posts, and in doing so making sure you don't get any more cores from living countries. It may be possible to conquer them and then sell the provinces to surrounding Indian countries before coring.