It is very important that you have some kind of paperwork where you told them your new address. From the day you tell them your forwarding address they have 45 days to inform you of any charges. If they miss the deadline, they have no recourse. You owe them nothing. And you can sue them for your deposit AND lawyer fees. GET A LAWYER.
Well, sort of.
The 45 days start no earlier than the termination date of the lease. NOT when the forwarding address is provided if that is before the last day of the lease. The clock can't start before the last day, but doesn't start until the tenant provides a forwarding address. So providing a forwarding address 2 weeks before the lease ends doesn't leave the landlord with 31 days to comply with the law. See the first clause below. Also notice (c). The landlord may still seek damages.
IC 32-31-3-12 Return of deposits; deductions; liability
Sec. 12. (a) Upon termination of a rental agreement, a landlord shall return to the tenant the security deposit minus any amount applied to:
(1) the payment of accrued rent; (2) the amount of damages that the landlord has suffered or will reasonably suffer by reason of the tenant's noncompliance with law or the rental agreement; and (3) unpaid utility or sewer charges that the tenant is obligated to pay under the rental agreement;
all as itemized by the landlord with the amount due in a written notice that is delivered to the tenant not more than forty-five (45) days after termination of the rental agreement and delivery of possession. The landlord is not liable under this chapter until the tenant supplies the landlord in writing with a mailing address to which to deliver the notice and amount prescribed by this subsection. Unless otherwise agreed, a tenant is not entitled to apply a securitydeposit to rent. (b) If a landlord fails to comply with subsection (a), a tenant may
recover all of the security deposit due the tenant and reasonable attorney's fees.
(c) This section does not preclude the landlord or tenant from recovering other damages to which either is entitled.
(d) The owner of the dwelling unit at the time of the termination of the rental agreement is bound by this section.
Then we have these 2 sections:
IC 32-31-3-14 Notice of damages; refund of remaining deposits
Sec. 14. Not more than forty-five (45) days after the termination of occupancy, a landlord shall mail to a tenant an itemized list of damages claimed for which the security deposit may be used under section 13 of this chapter. The list must set forth: 91) the estimated cost of repair for each damaged item; and (2) the amounts and lease on which the landlord intends to assess the tenant.
The landlord shall include with the list a check or money order for the difference between the damages claimed and the amount of the security deposit held by the landlord.
IC 32-31-3-15 Remittance of full deposit
Sec. 15. Failure by a landlord to provide notice of damages under section 14 of this chapter constitutes agreement by the landlord that no damages are due, and the landlord must remit to the tenant immediately the full security deposit.
IC doesn't say that a notice of damages has to be provided within 45 days. It says notice of damages under section 14, i.e. damages to be paid for by the security deposit, has to be provided in 45 days. Damages NOT governed by section 14, i.e. damages NOT being covered by a security deposit, are not statutorily regulated in terms of time of response. The security deposit law exists to protect the tenant from having the security deposit stolen without cause because the security deposit is still technically the tenant's property, being held as collateral, so to speak, for the mitigation of any damages the tenant causes. It's intent is to put a limit on the time the landlord can hold the tenant's property. I very seriously doubt it was intended to be read as putting a time limit on the recovery of damages in general.
I think it's pretty clear that in the absence of a security deposit, the default position for damages caused by a tenant is just like any other small claims court suit where one injured party is seeking redress from another, whatever those terms might be. But, IANAL nor a judge.
That said, the lease probably covers this and it would be the first place I'd look if I were in the OP's shoes. The second step would be to a lawyer...if the OP thinks it's worth it. Being right can be expensive sometimes. As Mr. Miyagi said, "Even if win, you lose."