A starter that engages and cranks the engine does not "tick", I don't know what you saying in your first paragraph.

A new battery should show 12.2-12.8, with engine running and alternator charging, you should see 14.4. - 14.8.

Overall, from what you have typed, I get the idea that your battery cables/clamps are bad or the block to chassis jumper is open.

Replace the cable you already suspect, and also do James' mod in this thread and see where you stand:
https://www.crossfireforum.org/forum...le-engine.html