DATA only thru WiFi - new carrier, refurb S5 (works on Note 4) - HELP

From Verizon to Consumer Cellular
Installed new SIM cards in my Note 4 (I was using Vz) and S5 (bought thru Amazon).
After a lot of support calls, both phones work, messages work, voice mail work.
Modified Access Point Name - new = CC LTE in both phones
Chrome connects on my phone, not S5.
Just talked 45 minutes about this problem. Lots of rebooting. Suggested:
I swap SIM cards and re-test. Same results - it's NOT the SIM card.
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Vz says they don't lock phones, the Amazon ad said "Verizon" and "unlocked."
Refurb S5 seems perfect. I called seller - seemed to know his stuff, said he'd work out any problem.
Is it significant that Note 4 was purchased directly through Vz?
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I can't imagine what CC can do. It seems bizarre that the phone is bad. But I need help, and I'm sure this sort of problem can't be unique.
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THANKS

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