Two wills for a James King, advocate, listed on ScotlandsPeople: 1631 and 1648.
No much help if you are having difficulty reading the writing.
These things do get easier with practice, although I have to admit that the Scottish ones of that date are really challenging.
Some suggestions.
Have a look at the catalogue of the National Archives of Scotland which can be searched here:
http://www.nas.gov.uk/onlineCatalogue/You cannot view any of the documents online, but sometimes the summary of the item's contents can provide you with some clues as to names, who else to look for and dates.
So for example, from this I gleaned the information that one James King, advocate, married Marion Hart. This marriage is shown on the IGI as 1608 and you should be able to find it on ScotlandsPeople too. Another James King advocate of Drydane married Janet Douglas - this is also on the IGI in 1603, image should be available on ScotlandsPeople. This couple seem to have been the parents of Margaret, Alexander and Euphemia. The former couple were parents of Agnes and Adam. Whether they are related, I don't know, but the names might indicate that they were using family names.
There was one item description which stood out:
"Discharge by Marie King daughter of deceased Alexander King advocate to James King advocate her brother"
This was dated 1613. So far I can't find anything to support this around the dates you are interested in.
Another website which may prove helpful is this one:
http://www.scotsfind.orgThere are some free databases on there including trancripts from some Edinburgh records.
Nell