On Fri, 05 Jun 2015 16:42:28 -0600, Tony Hwang wrote:

Sounds like you bought another cheap battery. Failed to do a few
simple things to make it start, routinely. For the record, a starter
with bronze or maybe brass shaft bushings have worn. The starter
begins to "drag", and the battery can't crank it. YMMV.

If starfter has Bendix type contacts, maybe it is pitted from
weak battery. Time to check the starter assembly.

A lot of motor repair shops will test a starter for you for free or a
few bucks. They can test the battery too. I'd start there!
If the battery and starter are ok, then you have engine problems.