A co worker drove his 03 trailblazer to work (no problems) and after work it will start and run for about 15 seconds and dies. It shows a code P1345 and P1514. any help?

Check the codes at this link. http://service.gm.com/gmspo/mode6/pdf/2003/2003file2.pdf looks like a cam timing issue and/or a tps, map correlation, this will not be a dyer fix, unless you find the tps or map disconnected.