If you took the backups using native SQL, and they are stored in the same location as the time of backup, then I think you can use the GUI to restore and it will show you all the t-log backups, already selected, ready for the restore.
It might be a good idea to go through the procedure with a test database so you are familiar with the steps,
Yes, that is a nice feature added to 2012 and 2014.
And re-emphasize the testing of the restore process.
Jason AKA CirqueDeSQLeilI have given a name to my pain...
MCM SQL Server, MVP
Posting Performance Based Questions - Gail Shaw