Does a refund get added to your w2 wages?

It depends.  If the refund was a reimbursement from an accountable plan such as incurring deductible expenses while performing as an employee, reimbursements are not wages and not taxable.

It is for one month's rent I got back.

what type of refund? 

for one month's rent

Does this count as wages?

No, a refund of rent you previously paid does NOT count as wages.

What about overdraft fee reimbursement from a slingtv subscription? Thank you.

Same answer.

Thank you.