First off, nice watch - there are a lot of cool watches out there but the P4 executive is, in my opinion, quite possibly the most refined and elegant digital watch ever made. You have excellent taste.
From the photos, it looks to be in pretty good cosmetic condition. These watches were super well made (80 micron gold fill) and it should be easy to brush out superficial scratches and have it looking fabulous without too much of a problem. You might want to a search on the forum for tips on refinishing.
Getting a working one, however, is a bit of a challenge. Despite Pulsar's unrivaled and almost unblemished track record of producing hyper elegant timeless designs (thanks to Jean) with super high quality cases (thanks to Star), comfortable and stylish bracelets (thanks to Champion and Bear) and modules with bright super readable displays (thanks to Litronix)... despite all of the wonderful beauty and goodness, the modules do not have a very good track record for long term reliability.
Couple that with the low standards set by eBay, generally, the chances of getting a working watch from a listing where a watch is described as "untested" is maybe 1 out of 10. "Untested" usually means "tested and found to be non-working". So, don't get your hopes up too high. There is still a chance, but not a super high one.
That said, there are still a few routes available to getting a working Pulsar.
(1) find a beater Pulsar on eBay to harvest the module from. For a P4, this will generally cost you at least $150 to $200. You may have to watch eBay for a few months to find something. If you had a P2 or P3, you could harvest a module from a Hamilton QED, but since you have a P4, the only option is another P4, unfortunately.
(2) have your module repaired
It's remotely possible that you might have a module with a simple fault such as a faulty quartz crystal or reed switches. If your module falls into this category, then you can check with people such as the forum owneer Ed (
retroleds@aol.com) who perform these types of repairs. Reed switches and crystals are pretty easy, but often the problem is deeper and unrepairable.
(3) have your module rebuilt
If your module is hopelessly dead, you can have the module rebuilt with new circuitry but using the original display and plastic carrier (which are no longer made). A guy in Germany (named Hanno) has a company called "Strikes and Spares" which has pioneered a way to rebuild vintage watch modules using modern microcontroller circuitry - quite an amazing feat! To have your module rebuilt, you'll need to send your watch off to Germany so it will take a little while. For your watch, you'll want either an SASM30 or SASM31 which will cost 129 Euros:
http://www.strikesandspares.de/com/modpulsar.htm
So, cross your fingers (and perhaps sacrifice a TI to the time gods). Perhaps you'll get lucky and be the proud owner of a gorgeous working P4 Exec. If not, you've got a "project watch" with a couple of avenues available. It may take a little longer to get a working watch than you originally expected but once you do, it will be something wonderful to behold.
Good luck!
-abe.