Translation of Latin lines from 1565 book

I'm working on it.

I can't promise much, but I'll give it a shot.

Here is my very crude translation. Some of the author's constructions
puzzle me, but I've given as close to a literal translation as I can. I think
it is enough to give you an idea of what he was saying.

I found another rendition of this online and so was able to make some
corrections to your original post.

Postera lux candente rubens surgebat Eoo,
After blushing light rose from the shining morning star

Solque volaturis fraena relaxat equis.
the sun loosens the reins of horses about to fly.

Docta simul pubes aequat cum luce labores,
At the same time the learned woman (Elizabeth?) makes grown-up labors equal with light,

Iamque, ad opus Musas irrequieta vocat.
And now, restless, she calls the Muses to work.

Perquiritque scholas, sileantne, an garriat intus,
She makes diligent search for schools, are they silent, or does one chatter within,

Musarum stat magna domus: lapisundique coctus,
The great home of the Muses stands: hardened stone on all sides

Sublimis muro quadrifidusque decor.
Lofty four-part beauty of the wall.

Intus quinque scholae, dextraque in parte sacellum,
Within are five schools, and a little sanctuary on the right side,

Excellensque loci bibliotheca decus.
and an outstanding beautiful library.

Hic Latio quaecuncque sono, quaecunque Pelasgo,
Here the Muse spoken of has brought whatever things are from Latium
(Rome), whatever from Pelasgus (Greece),

Quaecunque ignotis Musa locuta modis,
whatever are of unknown kind.

Hic habitat quicquid doctus sudaverit orbis,
Here resides whatever of the world the learned man has labored hard for (sweat),

Quicquid ad incudem tempus et hora tulit.
whatever to the anvil time and hour has brought.

Rex princepsque loci Stagirita sed aemulus illi
The king and prince of the place is the Stagirite (Aristotle) but his rival

Magnus saepe Plato bella cruenta movet.
the great Plato often moves bloody wars.