If this is an ASE license that came with BO then it is probably an ASE DE or XE. You have installed as an EE when you should have installed as a DE.
This license comes with the ASE and is found in the $SYBASE/SYSAM-2_0/licenses folder. There will be no download on the SWDC for this as it is the developer edition.
As you still have time, you can use sp_lmconfig to set the license to DE or XE as follows.
sp_lmconfig "edition","DE"
go
sp_lmconfig "license type", "DT"
go
and restart the ASE
The ASE should now find the license in the aforementioned SYSAM folder.
If the ASE will not boot due to the complete expiry, there is another way, but for now this should work for you.
Discussion related to a SID is generally related to Business Suite, not other ASE installations.
Chris