Mind if I enquire what are these several sources?
The 1624/5 Census shows that Phettiplace Close came to Jamestown in 1608 on the Starr. His age is not given.
He is shown in the 1624/5 Census as the Head of his own Muster, at Pace's Paines. Also resident: two servants (one aged 15), and Daniel Watkins.
If I'm not mistaken, "Phettiplace" is an English name, not a German name. Unless there is proof that Phettiplace Close was born in Germany in 1593 (i.e., an actual birth record, recorded at the time of birth and still existing), it seems to me much more likely that he was English. If you do know of evidence that he was German, could you please explain what the evidence is?
As for whether he was an indentured servant: Phettiplace Close is described in his 1628 patent as an Ancient Planter. That's usually taken to mean that he paid his own passage. Again, if you know of evidence that he was an indentured servant, could you please explain what the evidence is?