SAFETY NOTE. While you're troubleshooting, Be SURE the transmission is in neutral, and remains there, so you don't run over yourself, if it happens to crank suddenly, and start while you're messing with the starter and associated wiring!. Assuming the shop knew what they were doing, and the starter is OK, either your engine is stuck, or you have a poor connection somewhere in the 3 large battery cables, since it won't crank, even when you jumper across the neutral-safety starter switch.
If you had not removed the starter, and had it checked, I would say the starter drive could be jammed against the ring gear, but since it acts the same as it did before you removed and replaced the starter, that is PROBABLY not an issue. Connect the clip lead of a test light to one of the starter bolt heads. Touch the probe end to the BATTERY side of the starter switch. It should light, and remain lit when the starter buttom is pushed. Then, probe the STARTER side of the starter switch... does the test light light when the starter button is pushed? If so, move on to the starter, and probe the terminal stud and push the starter button... is there "juice" right to the starter? If not, it's time to "follow the Volts" as Soundguy likes to say, and figure out WHERE the current is actually getting lost, between the battery, the starter switch, and the starter. Or, the (+) ground side, from the (+) battery post, to it's terminal, though the cable to chassis ground, though the chassis, to the starter's "frame".
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