Hi, I am having the similar problem with twrp and CWM. I am using samsung galaxy s3 international version (i9300)
I have rooted this device by Odin with CF-Root-SGS3-v6.2.tar (with CWM) included.
Forgive me i am noob. I also installed GooManager and TWRP were installed there.
Now when i try to reboot recovery with either TWRP and CWM, both will not work but instead load to default android recovery <3e>.
Help...~ Thanks a lot .