Tab Button in a Table

I created a table with various headers.
As I input the information, when I tap the 'Tab' key on my computer, instead of moving to the next cell left, it is carriage returning to the next cell down.
Trippy enough, if I type information into the first cell, then Arrow right, I can 'tab' right from that point forward for that one row.
Once I hit 'Enter' and it does the carriage return, I'm back to the 'Tab' button moving to the next cell down; I have to arrow over again.

Also, when I carriage return (Hit Enter) at the end of a row, it will only return to Column B, never back to A.

This is only when I make a table, when I use Excel without the table it works just fine.
Jess