I have cracked the face of my Pulsar watch. Is it possible to buy a replacement and where from?

It is a battery saving design, otherwise you would have to have a new battery every couple of months.

https://www.google.com/search?q=pulsar+pq2003+goes+dark+until+I+touch+the+watch+face

..

Based on the information you've provided, it sounds like you have a Pulsar brand watch. The numbers "160622" and "V533-8850" are likely the watch's serial number. The "M" inside of a box is likely a hallmark or hallmarking, which signifies that the watch's gold content meets a certain standard. The watch has a gold and silver appearance, with a gold face and gold hands, and has a display on the face for the day and date.

1978?

https://www.google.com/search?q=Pulsar+serial+No.+780297

..

Leave this to a jeweller as you need specific tools.

Click on the crown (the stem in the middle on the right side). There are three settings, and one of them will change the minute hands' behavior to normal. You might also check out this guide:

http://c01.coacdn.com/calibers/H800_condensed.pdf

Yes, just take it to your local watchmaker, or jewelry store :)
We replace them all the time, no problem! (My husband is a watchmaker)

If you have a glass face on your watch then you will probably need to get it replaced. If the face on your watch is plastic then you might be able to get it buffed and possibly smoothed out.

The circuit is going bad.

I have a Pulsar watch and on the expandable band, the casing fell off and can't get it replaced unless we take off a link...To me this was too much trouble, time and expense...I won't buy another Pulsar! Too bad cause I thought it was a beautiful watch.