Hi Mike
Found a few references to him, looks like SKEETS is a popular spelling alternative.
Matt
http://www.nationalarchives.gov.uk/a2a/records.aspx?cat=179-frewen_2-3&cid=1-2-1-1-4&kw=King#1-2-1-1-4Letter from James Skeets, Tenterden, Kent with an invitation to a religious meeting  FRE/4426  30 Jul 1665
Letter from James Skeets, Tenterden, Kent with an invitation to a religious meeting  FRE/4429  30 Sep 1665
Letter from James Skeets, Tenterden, Kent asking for advice concerning the constitution of the Cinque Ports, with draft reply  FRE/4454  23 Mar 1669
Letter from James Skeets on business matters  FRE/4494  nd [c1669/1670]
Letter from James Skeets, Tenterden, Kent concerning a postponed meeting  FRE/4508  9 Aug 1670
Letter from James Skeets, Tenterden, Kent concerning a meeting of the Sewer Commissioners  FRE/4514  15 Sep 1670
Letter from John Byndlos, London concerning money  FRE/4515  17 Sep 1670
Letter from James Skeets, Tenterden, Kent concerning a meeting of the Sewer Commissioners  FRE/4516  20 Sep 1670
Letter from James Skeets, Tenterden, Kent concerning a meeting of the Sewer Commissioners  FRE/4517  7 Oct 1670
Letter from James Skeets, Tenterden, Kent concerning religious matters  FRE/4557  1 Jul 1671
Letter from James Skeets, Tenterden, Kent concerning a meeting  FRE/4563  7 Aug 1671
Letter from James Skeets, Tenterden, Kent about his fear of inprisonment  FRE/4575  30 Oct 1671
Letter from James Skeets, Tenterden, Kent concerning the Sewer Commissioners  FRE/4597  22 Jan 1672
Letter from James Skeets, Tenterden, Kent with notice of a meeting  FRE/4604  16 Mar 1672
Letter from James Skeets, Tenterden, Kent concerning a meeting  FRE/4624  3 Aug 1672
Letter from James Skeets, Tenterden, Kent on legal matters  FRE/4653  20 Dec 1672
Letter from William Curteis, Tenterden, Kent concerning the debts of (James) Skeets  FRE/4671  17 Feb 1673
Letter from William Curteis, Tenterden, Kent concerning the debts of James Skeets  FRE/4676  10 Mar 1673
All the above letters are held at East Sussex record office;
http://www.eastsussex.gov.uk/leisureandtourism/localandfamilyhistory/esro/A couple of wills in the Canterbury Cathedral archives;
Skeets                      James                Tenterden                        1717  1717  59/223b
Skeets                      John                 Tenterden                        1630  1630  49/244
Reference to James as a tax (?) commissioner;
http://www.british-history.ac.uk/report.aspx?compid=46321Monument inscription;
130. Here lyeth y^ body of James SKEETES Gent, who dep'd 
ys life May y^ 26th, 1717, in y' 85 yeare of his age. Left 
issue one daughter, Elizabeth. 
Register. 31st May, 1717, M"" James Skeets, 86 years.
http://www.archive.org/stream/kentishmonumenta00dunc/kentishmonumenta00dunc_djvu.txt