What does "the after-tax deductions ($5887 total) that were collected by my employer" mean? Is $5887 the amount of reimbursement over $5250? Earlier you indicated the amount was $17,161.
Or is that the amount of federal tax was withheld from your pay for the excess reimbursement over $5250? Earlier you indicated the amount was $643.70. Something else.
In another place, you said "my employer already paid my tuition in full (Tuition = 31743). That would indicate the taxable amount is 31,743 - 5250 = $26,493
To answer your question, we need clarification of your numbers. Did you get $22,411 (5250 + 17,161) in tuition assistance? How much of that is included in the $64,743 shown in box 5 of the 1098-T? Even if it was, the scholarship provided by the school was still more than the tuition, so you're not eligible for any tuition credit. In fact, it appears that some ($10,589 quick calculation) of the school provided scholarship is also taxable. See "loop hole" explanation, above, for how you can still claim a credit.
