I am sorry to learn of this situation.
When you say that you were "evicted" - it appears that you were actually evicted (the landlord went to court, filed an unlawful detainer, and got a judgment of possession against you).
If this was the case, the time to dispute notice (60 days as required for lease termination - assuming you had paid rent and there was no "for cause" basis for your termination), was during the court case, there is no 60 day period after the court enters the judgment. However, the landlord cannot do a "lock out" they must have the sheriff do the forcible eviction.
Once the Sheriff does a forcible eviction however, the tenant's belongings that remain are moved to the curb and the landlord has no liability for them.
Whether or not you have any right to a return of your security deposit really depends on what claims the landlord has made against them - it is extremely unusual for a landlord to actually go through the eviction process (to judgment) and not have outstanding expenses (well in excess of $1,000.00) that can be charged against the security deposit. However, they should have sent you an itemized deduction (although be careful, this will likely be accompanied by a bill for the remainder).
If I misunderstood your situation and you didn't actually get evicted by court order, please let me know and I can try to follow up a little more accurately with your circumstances, but if my understanding is correct (the landlord had to go to court and get a judgment against you to evict you), then it is unlikely you can claim anything against them (not impossible, just unlikely, there are always some exceptions based on unusual or extraordinary fact patterns).